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Finding the Fourth Proportional to 32,594.43, 48,913.53 and 11,534.37

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Solution

The fourth proportional to 32,594.43, 48,913.53 and 11,534.37 is: 17,309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,594.43 : 48,913.53 = 11,534.37 : x
  2. Step 2: Convert to fraction form
    32,594.43/48,913.53 = 11,534.37/x
  3. Step 3: Cross multiply
    32,594.43x = 48,913.53 × 11,534.37
  4. Step 4: Simplify right side
    32,594.43x = 564,186,753.03
  5. Step 5: Solve for x
    x = 564,186,753.03/32,594.43
  6. Step 6: Final answer
    x = 17,309.30

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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.