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Finding the Fourth Proportional to 47,113.92, 70,681.31 and 15,522.71

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Solution

The fourth proportional to 47,113.92, 70,681.31 and 15,522.71 is: 23,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,113.92 : 70,681.31 = 15,522.71 : x
  2. Step 2: Convert to fraction form
    47,113.92/70,681.31 = 15,522.71/x
  3. Step 3: Cross multiply
    47,113.92x = 70,681.31 × 15,522.71
  4. Step 4: Simplify right side
    47,113.92x = 1,097,165,477.55
  5. Step 5: Solve for x
    x = 1,097,165,477.55/47,113.92
  6. Step 6: Final answer
    x = 23,287.50

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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.