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Finding the Fourth Proportional to 32,656.50, 48,985.56 and 11,880

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Solution

The fourth proportional to 32,656.50, 48,985.56 and 11,880 is: 17,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,656.50 : 48,985.56 = 11,880 : x
  2. Step 2: Convert to fraction form
    32,656.50/48,985.56 = 11,880/x
  3. Step 3: Cross multiply
    32,656.50x = 48,985.56 × 11,880
  4. Step 4: Simplify right side
    32,656.50x = 581,948,452.80
  5. Step 5: Solve for x
    x = 581,948,452.80/32,656.50
  6. Step 6: Final answer
    x = 17,820.29

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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.