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Finding the Fourth Proportional to 71,029, 106,082.90 and 64,352.14

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Solution

The fourth proportional to 71,029, 106,082.90 and 64,352.14 is: 96,110.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,029 : 106,082.90 = 64,352.14 : x
  2. Step 2: Convert to fraction form
    71,029/106,082.90 = 64,352.14/x
  3. Step 3: Cross multiply
    71,029x = 106,082.90 × 64,352.14
  4. Step 4: Simplify right side
    71,029x = 6,826,661,632.41
  5. Step 5: Solve for x
    x = 6,826,661,632.41/71,029
  6. Step 6: Final answer
    x = 96,110.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.