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Finding the Fourth Proportional to 32,062.44, 48,098.83 and 9,875.81

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Solution

The fourth proportional to 32,062.44, 48,098.83 and 9,875.81 is: 14,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,062.44 : 48,098.83 = 9,875.81 : x
  2. Step 2: Convert to fraction form
    32,062.44/48,098.83 = 9,875.81/x
  3. Step 3: Cross multiply
    32,062.44x = 48,098.83 × 9,875.81
  4. Step 4: Simplify right side
    32,062.44x = 475,014,616.43
  5. Step 5: Solve for x
    x = 475,014,616.43/32,062.44
  6. Step 6: Final answer
    x = 14,815.30

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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.