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Finding the Fourth Proportional to 75,314.40, 103,849.04 and 61,660

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Solution

The fourth proportional to 75,314.40, 103,849.04 and 61,660 is: 85,021.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,314.40 : 103,849.04 = 61,660 : x
  2. Step 2: Convert to fraction form
    75,314.40/103,849.04 = 61,660/x
  3. Step 3: Cross multiply
    75,314.40x = 103,849.04 × 61,660
  4. Step 4: Simplify right side
    75,314.40x = 6,403,331,806.40
  5. Step 5: Solve for x
    x = 6,403,331,806.40/75,314.40
  6. Step 6: Final answer
    x = 85,021.35

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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.