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Finding the Fourth Proportional to 61,543.50, 91,832.19 and 57,781.86

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Solution

The fourth proportional to 61,543.50, 91,832.19 and 57,781.86 is: 86,219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,543.50 : 91,832.19 = 57,781.86 : x
  2. Step 2: Convert to fraction form
    61,543.50/91,832.19 = 57,781.86/x
  3. Step 3: Cross multiply
    61,543.50x = 91,832.19 × 57,781.86
  4. Step 4: Simplify right side
    61,543.50x = 5,306,234,746.07
  5. Step 5: Solve for x
    x = 5,306,234,746.07/61,543.50
  6. Step 6: Final answer
    x = 86,219.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.