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Finding the Fourth Proportional to 71,597.12, 107,424.64 and 32,126.72

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Solution

The fourth proportional to 71,597.12, 107,424.64 and 32,126.72 is: 48,203.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,597.12 : 107,424.64 = 32,126.72 : x
  2. Step 2: Convert to fraction form
    71,597.12/107,424.64 = 32,126.72/x
  3. Step 3: Cross multiply
    71,597.12x = 107,424.64 × 32,126.72
  4. Step 4: Simplify right side
    71,597.12x = 3,451,201,330.38
  5. Step 5: Solve for x
    x = 3,451,201,330.38/71,597.12
  6. Step 6: Final answer
    x = 48,203.07

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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.