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Finding the Fourth Proportional to 27,776,703.60, 41,691,947.40 and 13,409,852.40

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Solution

The fourth proportional to 27,776,703.60, 41,691,947.40 and 13,409,852.40 is: 20,127,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,776,703.60 : 41,691,947.40 = 13,409,852.40 : x
  2. Step 2: Convert to fraction form
    27,776,703.60/41,691,947.40 = 13,409,852.40/x
  3. Step 3: Cross multiply
    27,776,703.60x = 41,691,947.40 × 13,409,852.40
  4. Step 4: Simplify right side
    27,776,703.60x = 559,082,860,902,563.75
  5. Step 5: Solve for x
    x = 559,082,860,902,563.75/27,776,703.60
  6. Step 6: Final answer
    x = 20,127,761.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.