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Finding the Fourth Proportional to 52,572.60, 78,889.14 and 29,197.08

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Solution

The fourth proportional to 52,572.60, 78,889.14 and 29,197.08 is: 43,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,572.60 : 78,889.14 = 29,197.08 : x
  2. Step 2: Convert to fraction form
    52,572.60/78,889.14 = 29,197.08/x
  3. Step 3: Cross multiply
    52,572.60x = 78,889.14 × 29,197.08
  4. Step 4: Simplify right side
    52,572.60x = 2,303,332,531.71
  5. Step 5: Solve for x
    x = 2,303,332,531.71/52,572.60
  6. Step 6: Final answer
    x = 43,812.41

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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.