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Finding the Fourth Proportional to 32,384.18, 48,589.72 and 15,508.70

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Solution

The fourth proportional to 32,384.18, 48,589.72 and 15,508.70 is: 23,269.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,384.18 : 48,589.72 = 15,508.70 : x
  2. Step 2: Convert to fraction form
    32,384.18/48,589.72 = 15,508.70/x
  3. Step 3: Cross multiply
    32,384.18x = 48,589.72 × 15,508.70
  4. Step 4: Simplify right side
    32,384.18x = 753,563,390.56
  5. Step 5: Solve for x
    x = 753,563,390.56/32,384.18
  6. Step 6: Final answer
    x = 23,269.49

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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.