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Finding the Fourth Proportional to 57,730.47, 86,474.12 and 29,564.93

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Solution

The fourth proportional to 57,730.47, 86,474.12 and 29,564.93 is: 44,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,730.47 : 86,474.12 = 29,564.93 : x
  2. Step 2: Convert to fraction form
    57,730.47/86,474.12 = 29,564.93/x
  3. Step 3: Cross multiply
    57,730.47x = 86,474.12 × 29,564.93
  4. Step 4: Simplify right side
    57,730.47x = 2,556,600,724.42
  5. Step 5: Solve for x
    x = 2,556,600,724.42/57,730.47
  6. Step 6: Final answer
    x = 44,285.12

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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.