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Finding the Fourth Proportional to 32,022.74, 48,041.25 and 9,838.36

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Solution

The fourth proportional to 32,022.74, 48,041.25 and 9,838.36 is: 14,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,022.74 : 48,041.25 = 9,838.36 : x
  2. Step 2: Convert to fraction form
    32,022.74/48,041.25 = 9,838.36/x
  3. Step 3: Cross multiply
    32,022.74x = 48,041.25 × 9,838.36
  4. Step 4: Simplify right side
    32,022.74x = 472,646,822.95
  5. Step 5: Solve for x
    x = 472,646,822.95/32,022.74
  6. Step 6: Final answer
    x = 14,759.73

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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.