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Finding the Fourth Proportional to 75,688.38, 104,453.20 and 42,154.38

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Solution

The fourth proportional to 75,688.38, 104,453.20 and 42,154.38 is: 58,174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,688.38 : 104,453.20 = 42,154.38 : x
  2. Step 2: Convert to fraction form
    75,688.38/104,453.20 = 42,154.38/x
  3. Step 3: Cross multiply
    75,688.38x = 104,453.20 × 42,154.38
  4. Step 4: Simplify right side
    75,688.38x = 4,403,159,885.02
  5. Step 5: Solve for x
    x = 4,403,159,885.02/75,688.38
  6. Step 6: Final answer
    x = 58,174.85

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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.