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Finding the Fourth Proportional to 75,007.89, 112,542.89 and 32,866.20

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Solution

The fourth proportional to 75,007.89, 112,542.89 and 32,866.20 is: 49,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,007.89 : 112,542.89 = 32,866.20 : x
  2. Step 2: Convert to fraction form
    75,007.89/112,542.89 = 32,866.20/x
  3. Step 3: Cross multiply
    75,007.89x = 112,542.89 × 32,866.20
  4. Step 4: Simplify right side
    75,007.89x = 3,698,856,966.99
  5. Step 5: Solve for x
    x = 3,698,856,966.99/75,007.89
  6. Step 6: Final answer
    x = 49,312.91

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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.