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Finding the Fourth Proportional to 52,470.62, 72,412.02 and 29,507.66

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Solution

The fourth proportional to 52,470.62, 72,412.02 and 29,507.66 is: 40,722.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,470.62 : 72,412.02 = 29,507.66 : x
  2. Step 2: Convert to fraction form
    52,470.62/72,412.02 = 29,507.66/x
  3. Step 3: Cross multiply
    52,470.62x = 72,412.02 × 29,507.66
  4. Step 4: Simplify right side
    52,470.62x = 2,136,709,266.07
  5. Step 5: Solve for x
    x = 2,136,709,266.07/52,470.62
  6. Step 6: Final answer
    x = 40,722.01

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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.