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Finding the Fourth Proportional to 75,065, 103,590.42 and 41,531.72

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Solution

The fourth proportional to 75,065, 103,590.42 and 41,531.72 is: 57,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,065 : 103,590.42 = 41,531.72 : x
  2. Step 2: Convert to fraction form
    75,065/103,590.42 = 41,531.72/x
  3. Step 3: Cross multiply
    75,065x = 103,590.42 × 41,531.72
  4. Step 4: Simplify right side
    75,065x = 4,302,288,318.12
  5. Step 5: Solve for x
    x = 4,302,288,318.12/75,065
  6. Step 6: Final answer
    x = 57,314.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.