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Finding the Fourth Proportional to 92,058.48, 137,974.50 and 47,659.86

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Solution

The fourth proportional to 92,058.48, 137,974.50 and 47,659.86 is: 71,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,058.48 : 137,974.50 = 47,659.86 : x
  2. Step 2: Convert to fraction form
    92,058.48/137,974.50 = 47,659.86/x
  3. Step 3: Cross multiply
    92,058.48x = 137,974.50 × 47,659.86
  4. Step 4: Simplify right side
    92,058.48x = 6,575,845,353.57
  5. Step 5: Solve for x
    x = 6,575,845,353.57/92,058.48
  6. Step 6: Final answer
    x = 71,431.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.