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Finding the Fourth Proportional to 71,663.30, 107,458.08 and 32,186.54

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Solution

The fourth proportional to 71,663.30, 107,458.08 and 32,186.54 is: 48,263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,663.30 : 107,458.08 = 32,186.54 : x
  2. Step 2: Convert to fraction form
    71,663.30/107,458.08 = 32,186.54/x
  3. Step 3: Cross multiply
    71,663.30x = 107,458.08 × 32,186.54
  4. Step 4: Simplify right side
    71,663.30x = 3,458,703,252.95
  5. Step 5: Solve for x
    x = 3,458,703,252.95/71,663.30
  6. Step 6: Final answer
    x = 48,263.25

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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.