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Finding the Fourth Proportional to 31,614.58, 47,406.07 and 10,547.29

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Solution

The fourth proportional to 31,614.58, 47,406.07 and 10,547.29 is: 15,815.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,614.58 : 47,406.07 = 10,547.29 : x
  2. Step 2: Convert to fraction form
    31,614.58/47,406.07 = 10,547.29/x
  3. Step 3: Cross multiply
    31,614.58x = 47,406.07 × 10,547.29
  4. Step 4: Simplify right side
    31,614.58x = 500,005,568.05
  5. Step 5: Solve for x
    x = 500,005,568.05/31,614.58
  6. Step 6: Final answer
    x = 15,815.66

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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.