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Finding the Fourth Proportional to 31,459.92, 47,178.54 and 10,678.56

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Solution

The fourth proportional to 31,459.92, 47,178.54 and 10,678.56 is: 16,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,459.92 : 47,178.54 = 10,678.56 : x
  2. Step 2: Convert to fraction form
    31,459.92/47,178.54 = 10,678.56/x
  3. Step 3: Cross multiply
    31,459.92x = 47,178.54 × 10,678.56
  4. Step 4: Simplify right side
    31,459.92x = 503,798,870.10
  5. Step 5: Solve for x
    x = 503,798,870.10/31,459.92
  6. Step 6: Final answer
    x = 16,013.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.