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Finding the Fourth Proportional to 47,757.88, 65,902.98 and 26,536.42

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Solution

The fourth proportional to 47,757.88, 65,902.98 and 26,536.42 is: 36,618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,757.88 : 65,902.98 = 26,536.42 : x
  2. Step 2: Convert to fraction form
    47,757.88/65,902.98 = 26,536.42/x
  3. Step 3: Cross multiply
    47,757.88x = 65,902.98 × 26,536.42
  4. Step 4: Simplify right side
    47,757.88x = 1,748,829,156.53
  5. Step 5: Solve for x
    x = 1,748,829,156.53/47,757.88
  6. Step 6: Final answer
    x = 36,618.65

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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.