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Finding the Fourth Proportional to 71,766.32, 107,656.82 and 27,430.39

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Solution

The fourth proportional to 71,766.32, 107,656.82 and 27,430.39 is: 41,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,766.32 : 107,656.82 = 27,430.39 : x
  2. Step 2: Convert to fraction form
    71,766.32/107,656.82 = 27,430.39/x
  3. Step 3: Cross multiply
    71,766.32x = 107,656.82 × 27,430.39
  4. Step 4: Simplify right side
    71,766.32x = 2,953,068,558.76
  5. Step 5: Solve for x
    x = 2,953,068,558.76/71,766.32
  6. Step 6: Final answer
    x = 41,148.39

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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.