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Finding the Fourth Proportional to 49,748.80, 74,428.80 and 32,252.80

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Solution

The fourth proportional to 49,748.80, 74,428.80 and 32,252.80 is: 48,253.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,748.80 : 74,428.80 = 32,252.80 : x
  2. Step 2: Convert to fraction form
    49,748.80/74,428.80 = 32,252.80/x
  3. Step 3: Cross multiply
    49,748.80x = 74,428.80 × 32,252.80
  4. Step 4: Simplify right side
    49,748.80x = 2,400,537,200.64
  5. Step 5: Solve for x
    x = 2,400,537,200.64/49,748.80
  6. Step 6: Final answer
    x = 48,253.17

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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.