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Finding the Fourth Proportional to 47,305.92, 65,282.13 and 26,086.53

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Solution

The fourth proportional to 47,305.92, 65,282.13 and 26,086.53 is: 35,999.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,305.92 : 65,282.13 = 26,086.53 : x
  2. Step 2: Convert to fraction form
    47,305.92/65,282.13 = 26,086.53/x
  3. Step 3: Cross multiply
    47,305.92x = 65,282.13 × 26,086.53
  4. Step 4: Simplify right side
    47,305.92x = 1,702,984,242.71
  5. Step 5: Solve for x
    x = 1,702,984,242.71/47,305.92
  6. Step 6: Final answer
    x = 35,999.39

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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.