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Finding the Fourth Proportional to 71,465.76, 107,123.01 and 24,035.70

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Solution

The fourth proportional to 71,465.76, 107,123.01 and 24,035.70 is: 36,028.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,465.76 : 107,123.01 = 24,035.70 : x
  2. Step 2: Convert to fraction form
    71,465.76/107,123.01 = 24,035.70/x
  3. Step 3: Cross multiply
    71,465.76x = 107,123.01 × 24,035.70
  4. Step 4: Simplify right side
    71,465.76x = 2,574,776,531.46
  5. Step 5: Solve for x
    x = 2,574,776,531.46/71,465.76
  6. Step 6: Final answer
    x = 36,028.11

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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.