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Finding the Fourth Proportional to 75,123.69, 103,670.70 and 41,132.18

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Solution

The fourth proportional to 75,123.69, 103,670.70 and 41,132.18 is: 56,762.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,123.69 : 103,670.70 = 41,132.18 : x
  2. Step 2: Convert to fraction form
    75,123.69/103,670.70 = 41,132.18/x
  3. Step 3: Cross multiply
    75,123.69x = 103,670.70 × 41,132.18
  4. Step 4: Simplify right side
    75,123.69x = 4,264,201,893.13
  5. Step 5: Solve for x
    x = 4,264,201,893.13/75,123.69
  6. Step 6: Final answer
    x = 56,762.41

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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.