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Finding the Fourth Proportional to 31,681.67, 47,535.72 and 13,903.14

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Solution

The fourth proportional to 31,681.67, 47,535.72 and 13,903.14 is: 20,860.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,681.67 : 47,535.72 = 13,903.14 : x
  2. Step 2: Convert to fraction form
    31,681.67/47,535.72 = 13,903.14/x
  3. Step 3: Cross multiply
    31,681.67x = 47,535.72 × 13,903.14
  4. Step 4: Simplify right side
    31,681.67x = 660,895,770.16
  5. Step 5: Solve for x
    x = 660,895,770.16/31,681.67
  6. Step 6: Final answer
    x = 20,860.51

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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.