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Finding the Fourth Proportional to 32,563.70, 48,813.15 and 15,002.90

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Solution

The fourth proportional to 32,563.70, 48,813.15 and 15,002.90 is: 22,489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,563.70 : 48,813.15 = 15,002.90 : x
  2. Step 2: Convert to fraction form
    32,563.70/48,813.15 = 15,002.90/x
  3. Step 3: Cross multiply
    32,563.70x = 48,813.15 × 15,002.90
  4. Step 4: Simplify right side
    32,563.70x = 732,338,808.14
  5. Step 5: Solve for x
    x = 732,338,808.14/32,563.70
  6. Step 6: Final answer
    x = 22,489.42

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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.