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Finding the Fourth Proportional to 31,061.52, 46,489.82 and 22,038.39

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Solution

The fourth proportional to 31,061.52, 46,489.82 and 22,038.39 is: 32,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,061.52 : 46,489.82 = 22,038.39 : x
  2. Step 2: Convert to fraction form
    31,061.52/46,489.82 = 22,038.39/x
  3. Step 3: Cross multiply
    31,061.52x = 46,489.82 × 22,038.39
  4. Step 4: Simplify right side
    31,061.52x = 1,024,560,674.00
  5. Step 5: Solve for x
    x = 1,024,560,674.00/31,061.52
  6. Step 6: Final answer
    x = 32,984.89

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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.