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Finding the Fourth Proportional to 32,023.26, 48,041.91 and 9,838.31

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Solution

The fourth proportional to 32,023.26, 48,041.91 and 9,838.31 is: 14,759.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,023.26 : 48,041.91 = 9,838.31 : x
  2. Step 2: Convert to fraction form
    32,023.26/48,041.91 = 9,838.31/x
  3. Step 3: Cross multiply
    32,023.26x = 48,041.91 × 9,838.31
  4. Step 4: Simplify right side
    32,023.26x = 472,650,963.36
  5. Step 5: Solve for x
    x = 472,650,963.36/32,023.26
  6. Step 6: Final answer
    x = 14,759.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.