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Finding the Fourth Proportional to 32,294.88, 48,449.34 and 13,564.23

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Solution

The fourth proportional to 32,294.88, 48,449.34 and 13,564.23 is: 20,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,294.88 : 48,449.34 = 13,564.23 : x
  2. Step 2: Convert to fraction form
    32,294.88/48,449.34 = 13,564.23/x
  3. Step 3: Cross multiply
    32,294.88x = 48,449.34 × 13,564.23
  4. Step 4: Simplify right side
    32,294.88x = 657,177,991.11
  5. Step 5: Solve for x
    x = 657,177,991.11/32,294.88
  6. Step 6: Final answer
    x = 20,349.29

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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.