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Finding the Fourth Proportional to 75,755.42, 104,549.87 and 56,601.95

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Solution

The fourth proportional to 75,755.42, 104,549.87 and 56,601.95 is: 78,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,755.42 : 104,549.87 = 56,601.95 : x
  2. Step 2: Convert to fraction form
    75,755.42/104,549.87 = 56,601.95/x
  3. Step 3: Cross multiply
    75,755.42x = 104,549.87 × 56,601.95
  4. Step 4: Simplify right side
    75,755.42x = 5,917,726,492.61
  5. Step 5: Solve for x
    x = 5,917,726,492.61/75,755.42
  6. Step 6: Final answer
    x = 78,116.22

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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.