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Finding the Fourth Proportional to 75,142.40, 103,693.76 and 43,312.64

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Solution

The fourth proportional to 75,142.40, 103,693.76 and 43,312.64 is: 59,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,142.40 : 103,693.76 = 43,312.64 : x
  2. Step 2: Convert to fraction form
    75,142.40/103,693.76 = 43,312.64/x
  3. Step 3: Cross multiply
    75,142.40x = 103,693.76 × 43,312.64
  4. Step 4: Simplify right side
    75,142.40x = 4,491,250,497.13
  5. Step 5: Solve for x
    x = 4,491,250,497.13/75,142.40
  6. Step 6: Final answer
    x = 59,769.86

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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.