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Finding the Fourth Proportional to 32,952.20, 49,428.30 and 27,411.80

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Solution

The fourth proportional to 32,952.20, 49,428.30 and 27,411.80 is: 41,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,952.20 : 49,428.30 = 27,411.80 : x
  2. Step 2: Convert to fraction form
    32,952.20/49,428.30 = 27,411.80/x
  3. Step 3: Cross multiply
    32,952.20x = 49,428.30 × 27,411.80
  4. Step 4: Simplify right side
    32,952.20x = 1,354,918,673.94
  5. Step 5: Solve for x
    x = 1,354,918,673.94/32,952.20
  6. Step 6: Final answer
    x = 41,117.70

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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.