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Finding the Fourth Proportional to 31,543.68, 47,270.16 and 21,694.08

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Solution

The fourth proportional to 31,543.68, 47,270.16 and 21,694.08 is: 32,509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,543.68 : 47,270.16 = 21,694.08 : x
  2. Step 2: Convert to fraction form
    31,543.68/47,270.16 = 21,694.08/x
  3. Step 3: Cross multiply
    31,543.68x = 47,270.16 × 21,694.08
  4. Step 4: Simplify right side
    31,543.68x = 1,025,482,632.65
  5. Step 5: Solve for x
    x = 1,025,482,632.65/31,543.68
  6. Step 6: Final answer
    x = 32,509.92

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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.