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Finding the Fourth Proportional to 87,537, 120,801.06 and 47,793

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Solution

The fourth proportional to 87,537, 120,801.06 and 47,793 is: 65,954.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,537 : 120,801.06 = 47,793 : x
  2. Step 2: Convert to fraction form
    87,537/120,801.06 = 47,793/x
  3. Step 3: Cross multiply
    87,537x = 120,801.06 × 47,793
  4. Step 4: Simplify right side
    87,537x = 5,773,445,060.58
  5. Step 5: Solve for x
    x = 5,773,445,060.58/87,537
  6. Step 6: Final answer
    x = 65,954.34

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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.