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Finding the Fourth Proportional to 31,294.49, 46,954.70 and 12,587.79

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Solution

The fourth proportional to 31,294.49, 46,954.70 and 12,587.79 is: 18,886.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,294.49 : 46,954.70 = 12,587.79 : x
  2. Step 2: Convert to fraction form
    31,294.49/46,954.70 = 12,587.79/x
  3. Step 3: Cross multiply
    31,294.49x = 46,954.70 × 12,587.79
  4. Step 4: Simplify right side
    31,294.49x = 591,055,903.11
  5. Step 5: Solve for x
    x = 591,055,903.11/31,294.49
  6. Step 6: Final answer
    x = 18,886.90

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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.