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Finding the Fourth Proportional to 32,262.56, 48,373.68 and 18,392.48

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Solution

The fourth proportional to 32,262.56, 48,373.68 and 18,392.48 is: 27,577.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,262.56 : 48,373.68 = 18,392.48 : x
  2. Step 2: Convert to fraction form
    32,262.56/48,373.68 = 18,392.48/x
  3. Step 3: Cross multiply
    32,262.56x = 48,373.68 × 18,392.48
  4. Step 4: Simplify right side
    32,262.56x = 889,711,941.93
  5. Step 5: Solve for x
    x = 889,711,941.93/32,262.56
  6. Step 6: Final answer
    x = 27,577.23

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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.