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Finding the Fourth Proportional to 75,597.88, 104,323.17 and 41,141.15

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Solution

The fourth proportional to 75,597.88, 104,323.17 and 41,141.15 is: 56,773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,597.88 : 104,323.17 = 41,141.15 : x
  2. Step 2: Convert to fraction form
    75,597.88/104,323.17 = 41,141.15/x
  3. Step 3: Cross multiply
    75,597.88x = 104,323.17 × 41,141.15
  4. Step 4: Simplify right side
    75,597.88x = 4,291,974,862.19
  5. Step 5: Solve for x
    x = 4,291,974,862.19/75,597.88
  6. Step 6: Final answer
    x = 56,773.74

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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.