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Finding the Fourth Proportional to 75,099.66, 103,638.60 and 41,565.66

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Solution

The fourth proportional to 75,099.66, 103,638.60 and 41,565.66 is: 57,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,099.66 : 103,638.60 = 41,565.66 : x
  2. Step 2: Convert to fraction form
    75,099.66/103,638.60 = 41,565.66/x
  3. Step 3: Cross multiply
    75,099.66x = 103,638.60 × 41,565.66
  4. Step 4: Simplify right side
    75,099.66x = 4,307,806,810.48
  5. Step 5: Solve for x
    x = 4,307,806,810.48/75,099.66
  6. Step 6: Final answer
    x = 57,361.20

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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.