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Finding the Fourth Proportional to 71,747.84, 107,620.68 and 32,277.08

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Solution

The fourth proportional to 71,747.84, 107,620.68 and 32,277.08 is: 48,415.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,747.84 : 107,620.68 = 32,277.08 : x
  2. Step 2: Convert to fraction form
    71,747.84/107,620.68 = 32,277.08/x
  3. Step 3: Cross multiply
    71,747.84x = 107,620.68 × 32,277.08
  4. Step 4: Simplify right side
    71,747.84x = 3,473,681,298.01
  5. Step 5: Solve for x
    x = 3,473,681,298.01/71,747.84
  6. Step 6: Final answer
    x = 48,415.13

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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.