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Finding the Fourth Proportional to 61,512.65, 92,236.17 and 31,856.93

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Solution

The fourth proportional to 61,512.65, 92,236.17 and 31,856.93 is: 47,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,512.65 : 92,236.17 = 31,856.93 : x
  2. Step 2: Convert to fraction form
    61,512.65/92,236.17 = 31,856.93/x
  3. Step 3: Cross multiply
    61,512.65x = 92,236.17 × 31,856.93
  4. Step 4: Simplify right side
    61,512.65x = 2,938,361,036.13
  5. Step 5: Solve for x
    x = 2,938,361,036.13/61,512.65
  6. Step 6: Final answer
    x = 47,768.40

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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.