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Finding the Fourth Proportional to 31,329.98, 47,018.31 and 12,610.17

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Solution

The fourth proportional to 31,329.98, 47,018.31 and 12,610.17 is: 18,924.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,329.98 : 47,018.31 = 12,610.17 : x
  2. Step 2: Convert to fraction form
    31,329.98/47,018.31 = 12,610.17/x
  3. Step 3: Cross multiply
    31,329.98x = 47,018.31 × 12,610.17
  4. Step 4: Simplify right side
    31,329.98x = 592,908,882.21
  5. Step 5: Solve for x
    x = 592,908,882.21/31,329.98
  6. Step 6: Final answer
    x = 18,924.65

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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.