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Finding the Fourth Proportional to 52,469.71, 72,410.16 and 29,812.55

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Solution

The fourth proportional to 52,469.71, 72,410.16 and 29,812.55 is: 41,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,469.71 : 72,410.16 = 29,812.55 : x
  2. Step 2: Convert to fraction form
    52,469.71/72,410.16 = 29,812.55/x
  3. Step 3: Cross multiply
    52,469.71x = 72,410.16 × 29,812.55
  4. Step 4: Simplify right side
    52,469.71x = 2,158,731,515.51
  5. Step 5: Solve for x
    x = 2,158,731,515.51/52,469.71
  6. Step 6: Final answer
    x = 41,142.43

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1.5x scale

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.