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Finding the Fourth Proportional to 71,130.57, 106,695.86 and 21,245.71

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Solution

The fourth proportional to 71,130.57, 106,695.86 and 21,245.71 is: 31,868.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,130.57 : 106,695.86 = 21,245.71 : x
  2. Step 2: Convert to fraction form
    71,130.57/106,695.86 = 21,245.71/x
  3. Step 3: Cross multiply
    71,130.57x = 106,695.86 × 21,245.71
  4. Step 4: Simplify right side
    71,130.57x = 2,266,829,193.53
  5. Step 5: Solve for x
    x = 2,266,829,193.53/71,130.57
  6. Step 6: Final answer
    x = 31,868.57

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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.