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Finding the Fourth Proportional to 31,124.64, 46,689.87 and 12,400.14

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Solution

The fourth proportional to 31,124.64, 46,689.87 and 12,400.14 is: 18,601.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,124.64 : 46,689.87 = 12,400.14 : x
  2. Step 2: Convert to fraction form
    31,124.64/46,689.87 = 12,400.14/x
  3. Step 3: Cross multiply
    31,124.64x = 46,689.87 × 12,400.14
  4. Step 4: Simplify right side
    31,124.64x = 578,960,924.58
  5. Step 5: Solve for x
    x = 578,960,924.58/31,124.64
  6. Step 6: Final answer
    x = 18,601.37

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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.