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Finding the Fourth Proportional to 47,655.90, 65,773.08 and 26,442

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Solution

The fourth proportional to 47,655.90, 65,773.08 and 26,442 is: 36,494.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,655.90 : 65,773.08 = 26,442 : x
  2. Step 2: Convert to fraction form
    47,655.90/65,773.08 = 26,442/x
  3. Step 3: Cross multiply
    47,655.90x = 65,773.08 × 26,442
  4. Step 4: Simplify right side
    47,655.90x = 1,739,171,781.36
  5. Step 5: Solve for x
    x = 1,739,171,781.36/47,655.90
  6. Step 6: Final answer
    x = 36,494.36

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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.