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Finding the Fourth Proportional to 62,527.68, 93,710.16 and 47,682

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Solution

The fourth proportional to 62,527.68, 93,710.16 and 47,682 is: 71,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,527.68 : 93,710.16 = 47,682 : x
  2. Step 2: Convert to fraction form
    62,527.68/93,710.16 = 47,682/x
  3. Step 3: Cross multiply
    62,527.68x = 93,710.16 × 47,682
  4. Step 4: Simplify right side
    62,527.68x = 4,468,287,849.12
  5. Step 5: Solve for x
    x = 4,468,287,849.12/62,527.68
  6. Step 6: Final answer
    x = 71,460.96

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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.