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Finding the Fourth Proportional to 32,023.76, 48,042.66 and 9,838.81

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Solution

The fourth proportional to 32,023.76, 48,042.66 and 9,838.81 is: 14,760.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,023.76 : 48,042.66 = 9,838.81 : x
  2. Step 2: Convert to fraction form
    32,023.76/48,042.66 = 9,838.81/x
  3. Step 3: Cross multiply
    32,023.76x = 48,042.66 × 9,838.81
  4. Step 4: Simplify right side
    32,023.76x = 472,682,363.42
  5. Step 5: Solve for x
    x = 472,682,363.42/32,023.76
  6. Step 6: Final answer
    x = 14,760.36

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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.