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Finding the Fourth Proportional to 47,657.92, 65,775.82 and 26,444.02

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Solution

The fourth proportional to 47,657.92, 65,775.82 and 26,444.02 is: 36,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,657.92 : 65,775.82 = 26,444.02 : x
  2. Step 2: Convert to fraction form
    47,657.92/65,775.82 = 26,444.02/x
  3. Step 3: Cross multiply
    47,657.92x = 65,775.82 × 26,444.02
  4. Step 4: Simplify right side
    47,657.92x = 1,739,377,099.60
  5. Step 5: Solve for x
    x = 1,739,377,099.60/47,657.92
  6. Step 6: Final answer
    x = 36,497.13

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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.