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Finding the Fourth Proportional to 75,131.46, 103,666.59 and 42,865.38

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Solution

The fourth proportional to 75,131.46, 103,666.59 and 42,865.38 is: 59,145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,131.46 : 103,666.59 = 42,865.38 : x
  2. Step 2: Convert to fraction form
    75,131.46/103,666.59 = 42,865.38/x
  3. Step 3: Cross multiply
    75,131.46x = 103,666.59 × 42,865.38
  4. Step 4: Simplify right side
    75,131.46x = 4,443,707,773.65
  5. Step 5: Solve for x
    x = 4,443,707,773.65/75,131.46
  6. Step 6: Final answer
    x = 59,145.77

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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.