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Finding the Fourth Proportional to 75,085.17, 103,616.14 and 41,092.98

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Solution

The fourth proportional to 75,085.17, 103,616.14 and 41,092.98 is: 56,707.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,085.17 : 103,616.14 = 41,092.98 : x
  2. Step 2: Convert to fraction form
    75,085.17/103,616.14 = 41,092.98/x
  3. Step 3: Cross multiply
    75,085.17x = 103,616.14 × 41,092.98
  4. Step 4: Simplify right side
    75,085.17x = 4,257,895,968.70
  5. Step 5: Solve for x
    x = 4,257,895,968.70/75,085.17
  6. Step 6: Final answer
    x = 56,707.55

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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.