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Finding the Fourth Proportional to 72,972.30, 100,707.88 and 41,147.78

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Solution

The fourth proportional to 72,972.30, 100,707.88 and 41,147.78 is: 56,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,972.30 : 100,707.88 = 41,147.78 : x
  2. Step 2: Convert to fraction form
    72,972.30/100,707.88 = 41,147.78/x
  3. Step 3: Cross multiply
    72,972.30x = 100,707.88 × 41,147.78
  4. Step 4: Simplify right side
    72,972.30x = 4,143,905,690.51
  5. Step 5: Solve for x
    x = 4,143,905,690.51/72,972.30
  6. Step 6: Final answer
    x = 56,787.38

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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.