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Finding the Fourth Proportional to 31,415.65, 47,061.81 and 20,854.26

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Solution

The fourth proportional to 31,415.65, 47,061.81 and 20,854.26 is: 31,240.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,415.65 : 47,061.81 = 20,854.26 : x
  2. Step 2: Convert to fraction form
    31,415.65/47,061.81 = 20,854.26/x
  3. Step 3: Cross multiply
    31,415.65x = 47,061.81 × 20,854.26
  4. Step 4: Simplify right side
    31,415.65x = 981,439,221.81
  5. Step 5: Solve for x
    x = 981,439,221.81/31,415.65
  6. Step 6: Final answer
    x = 31,240.46

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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.