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Finding the Fourth Proportional to 76,932, 106,166.16 and 54,614.88

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Solution

The fourth proportional to 76,932, 106,166.16 and 54,614.88 is: 75,368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,932 : 106,166.16 = 54,614.88 : x
  2. Step 2: Convert to fraction form
    76,932/106,166.16 = 54,614.88/x
  3. Step 3: Cross multiply
    76,932x = 106,166.16 × 54,614.88
  4. Step 4: Simplify right side
    76,932x = 5,798,252,088.46
  5. Step 5: Solve for x
    x = 5,798,252,088.46/76,932
  6. Step 6: Final answer
    x = 75,368.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.