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Finding the Fourth Proportional to 32,748.80, 49,123.68 and 9,375.28

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Solution

The fourth proportional to 32,748.80, 49,123.68 and 9,375.28 is: 14,063.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,748.80 : 49,123.68 = 9,375.28 : x
  2. Step 2: Convert to fraction form
    32,748.80/49,123.68 = 9,375.28/x
  3. Step 3: Cross multiply
    32,748.80x = 49,123.68 × 9,375.28
  4. Step 4: Simplify right side
    32,748.80x = 460,548,254.63
  5. Step 5: Solve for x
    x = 460,548,254.63/32,748.80
  6. Step 6: Final answer
    x = 14,063.06

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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.