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Finding the Fourth Proportional to 32,505.48, 48,759.92 and 9,133.72

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Solution

The fourth proportional to 32,505.48, 48,759.92 and 9,133.72 is: 13,701.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,505.48 : 48,759.92 = 9,133.72 : x
  2. Step 2: Convert to fraction form
    32,505.48/48,759.92 = 9,133.72/x
  3. Step 3: Cross multiply
    32,505.48x = 48,759.92 × 9,133.72
  4. Step 4: Simplify right side
    32,505.48x = 445,359,456.50
  5. Step 5: Solve for x
    x = 445,359,456.50/32,505.48
  6. Step 6: Final answer
    x = 13,701.06

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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.