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Finding the Fourth Proportional to 47,486, 65,486.04 and 34,123.52

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Solution

The fourth proportional to 47,486, 65,486.04 and 34,123.52 is: 47,058.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,486 : 65,486.04 = 34,123.52 : x
  2. Step 2: Convert to fraction form
    47,486/65,486.04 = 34,123.52/x
  3. Step 3: Cross multiply
    47,486x = 65,486.04 × 34,123.52
  4. Step 4: Simplify right side
    47,486x = 2,234,614,195.66
  5. Step 5: Solve for x
    x = 2,234,614,195.66/47,486
  6. Step 6: Final answer
    x = 47,058.38

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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.