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Finding the Fourth Proportional to 73,157.76, 109,778.76 and 31,034.52

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Solution

The fourth proportional to 73,157.76, 109,778.76 and 31,034.52 is: 46,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,157.76 : 109,778.76 = 31,034.52 : x
  2. Step 2: Convert to fraction form
    73,157.76/109,778.76 = 31,034.52/x
  3. Step 3: Cross multiply
    73,157.76x = 109,778.76 × 31,034.52
  4. Step 4: Simplify right side
    73,157.76x = 3,406,931,122.80
  5. Step 5: Solve for x
    x = 3,406,931,122.80/73,157.76
  6. Step 6: Final answer
    x = 46,569.65

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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.