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Finding the Fourth Proportional to 75,294.69, 112,885.86 and 45,301.91

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Solution

The fourth proportional to 75,294.69, 112,885.86 and 45,301.91 is: 67,919.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,294.69 : 112,885.86 = 45,301.91 : x
  2. Step 2: Convert to fraction form
    75,294.69/112,885.86 = 45,301.91/x
  3. Step 3: Cross multiply
    75,294.69x = 112,885.86 × 45,301.91
  4. Step 4: Simplify right side
    75,294.69x = 5,113,944,505.56
  5. Step 5: Solve for x
    x = 5,113,944,505.56/75,294.69
  6. Step 6: Final answer
    x = 67,919.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.