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Finding the Fourth Proportional to 84,788.40, 116,991 and 54,526.32

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Solution

The fourth proportional to 84,788.40, 116,991 and 54,526.32 is: 75,235.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,788.40 : 116,991 = 54,526.32 : x
  2. Step 2: Convert to fraction form
    84,788.40/116,991 = 54,526.32/x
  3. Step 3: Cross multiply
    84,788.40x = 116,991 × 54,526.32
  4. Step 4: Simplify right side
    84,788.40x = 6,379,088,703.12
  5. Step 5: Solve for x
    x = 6,379,088,703.12/84,788.40
  6. Step 6: Final answer
    x = 75,235.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.