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Finding the Fourth Proportional to 47,812.38, 65,980.14 and 26,591.19

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Solution

The fourth proportional to 47,812.38, 65,980.14 and 26,591.19 is: 36,695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,812.38 : 65,980.14 = 26,591.19 : x
  2. Step 2: Convert to fraction form
    47,812.38/65,980.14 = 26,591.19/x
  3. Step 3: Cross multiply
    47,812.38x = 65,980.14 × 26,591.19
  4. Step 4: Simplify right side
    47,812.38x = 1,754,490,438.97
  5. Step 5: Solve for x
    x = 1,754,490,438.97/47,812.38
  6. Step 6: Final answer
    x = 36,695.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.