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Finding the Fourth Proportional to 71,306.68, 106,953.62 and 21,397.93

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Solution

The fourth proportional to 71,306.68, 106,953.62 and 21,397.93 is: 32,094.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,306.68 : 106,953.62 = 21,397.93 : x
  2. Step 2: Convert to fraction form
    71,306.68/106,953.62 = 21,397.93/x
  3. Step 3: Cross multiply
    71,306.68x = 106,953.62 × 21,397.93
  4. Step 4: Simplify right side
    71,306.68x = 2,288,586,074.01
  5. Step 5: Solve for x
    x = 2,288,586,074.01/71,306.68
  6. Step 6: Final answer
    x = 32,094.97

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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.