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Finding the Fourth Proportional to 31,461.39, 47,208.47 and 12,755.25

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Solution

The fourth proportional to 31,461.39, 47,208.47 and 12,755.25 is: 19,139.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461.39 : 47,208.47 = 12,755.25 : x
  2. Step 2: Convert to fraction form
    31,461.39/47,208.47 = 12,755.25/x
  3. Step 3: Cross multiply
    31,461.39x = 47,208.47 × 12,755.25
  4. Step 4: Simplify right side
    31,461.39x = 602,155,836.97
  5. Step 5: Solve for x
    x = 602,155,836.97/31,461.39
  6. Step 6: Final answer
    x = 19,139.52

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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.