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Finding the Fourth Proportional to 32,279.52, 48,510 and 19,133.76

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Solution

The fourth proportional to 32,279.52, 48,510 and 19,133.76 is: 28,754.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,279.52 : 48,510 = 19,133.76 : x
  2. Step 2: Convert to fraction form
    32,279.52/48,510 = 19,133.76/x
  3. Step 3: Cross multiply
    32,279.52x = 48,510 × 19,133.76
  4. Step 4: Simplify right side
    32,279.52x = 928,178,697.60
  5. Step 5: Solve for x
    x = 928,178,697.60/32,279.52
  6. Step 6: Final answer
    x = 28,754.41

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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.