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Finding the Fourth Proportional to 31,098.66, 46,655.28 and 12,379.84

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Solution

The fourth proportional to 31,098.66, 46,655.28 and 12,379.84 is: 18,572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,098.66 : 46,655.28 = 12,379.84 : x
  2. Step 2: Convert to fraction form
    31,098.66/46,655.28 = 12,379.84/x
  3. Step 3: Cross multiply
    31,098.66x = 46,655.28 × 12,379.84
  4. Step 4: Simplify right side
    31,098.66x = 577,584,901.56
  5. Step 5: Solve for x
    x = 577,584,901.56/31,098.66
  6. Step 6: Final answer
    x = 18,572.66

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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.