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Finding the Fourth Proportional to 32,402.66, 48,623.12 and 13,681.48

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Solution

The fourth proportional to 32,402.66, 48,623.12 and 13,681.48 is: 20,530.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,402.66 : 48,623.12 = 13,681.48 : x
  2. Step 2: Convert to fraction form
    32,402.66/48,623.12 = 13,681.48/x
  3. Step 3: Cross multiply
    32,402.66x = 48,623.12 × 13,681.48
  4. Step 4: Simplify right side
    32,402.66x = 665,236,321.70
  5. Step 5: Solve for x
    x = 665,236,321.70/32,402.66
  6. Step 6: Final answer
    x = 20,530.30

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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.