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Finding the Fourth Proportional to 47,141, 70,696.48 and 15,545.17

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Solution

The fourth proportional to 47,141, 70,696.48 and 15,545.17 is: 23,312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,141 : 70,696.48 = 15,545.17 : x
  2. Step 2: Convert to fraction form
    47,141/70,696.48 = 15,545.17/x
  3. Step 3: Cross multiply
    47,141x = 70,696.48 × 15,545.17
  4. Step 4: Simplify right side
    47,141x = 1,098,988,800.00
  5. Step 5: Solve for x
    x = 1,098,988,800.00/47,141
  6. Step 6: Final answer
    x = 23,312.80

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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.