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Finding the Fourth Proportional to 32,048.48, 48,077.28 and 9,863.71

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Solution

The fourth proportional to 32,048.48, 48,077.28 and 9,863.71 is: 14,796.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,048.48 : 48,077.28 = 9,863.71 : x
  2. Step 2: Convert to fraction form
    32,048.48/48,077.28 = 9,863.71/x
  3. Step 3: Cross multiply
    32,048.48x = 48,077.28 × 9,863.71
  4. Step 4: Simplify right side
    32,048.48x = 474,220,227.32
  5. Step 5: Solve for x
    x = 474,220,227.32/32,048.48
  6. Step 6: Final answer
    x = 14,796.96

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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.