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Finding the Fourth Proportional to 74,952.54, 112,417.20 and 32,823.36

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Solution

The fourth proportional to 74,952.54, 112,417.20 and 32,823.36 is: 49,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,952.54 : 112,417.20 = 32,823.36 : x
  2. Step 2: Convert to fraction form
    74,952.54/112,417.20 = 32,823.36/x
  3. Step 3: Cross multiply
    74,952.54x = 112,417.20 × 32,823.36
  4. Step 4: Simplify right side
    74,952.54x = 3,689,910,225.79
  5. Step 5: Solve for x
    x = 3,689,910,225.79/74,952.54
  6. Step 6: Final answer
    x = 49,229.96

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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.