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Finding the Fourth Proportional to 31,152.92, 46,701.56 and 11,426.88

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Solution

The fourth proportional to 31,152.92, 46,701.56 and 11,426.88 is: 17,130.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,152.92 : 46,701.56 = 11,426.88 : x
  2. Step 2: Convert to fraction form
    31,152.92/46,701.56 = 11,426.88/x
  3. Step 3: Cross multiply
    31,152.92x = 46,701.56 × 11,426.88
  4. Step 4: Simplify right side
    31,152.92x = 533,653,121.93
  5. Step 5: Solve for x
    x = 533,653,121.93/31,152.92
  6. Step 6: Final answer
    x = 17,130.12

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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.