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Finding the Fourth Proportional to 47,390.74, 65,398.98 and 26,170

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Solution

The fourth proportional to 47,390.74, 65,398.98 and 26,170 is: 36,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,390.74 : 65,398.98 = 26,170 : x
  2. Step 2: Convert to fraction form
    47,390.74/65,398.98 = 26,170/x
  3. Step 3: Cross multiply
    47,390.74x = 65,398.98 × 26,170
  4. Step 4: Simplify right side
    47,390.74x = 1,711,491,306.60
  5. Step 5: Solve for x
    x = 1,711,491,306.60/47,390.74
  6. Step 6: Final answer
    x = 36,114.47

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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.