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Finding the Fourth Proportional to 32,052.15, 48,083.45 and 9,865.53

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Solution

The fourth proportional to 32,052.15, 48,083.45 and 9,865.53 is: 14,799.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,052.15 : 48,083.45 = 9,865.53 : x
  2. Step 2: Convert to fraction form
    32,052.15/48,083.45 = 9,865.53/x
  3. Step 3: Cross multiply
    32,052.15x = 48,083.45 × 9,865.53
  4. Step 4: Simplify right side
    32,052.15x = 474,368,669.15
  5. Step 5: Solve for x
    x = 474,368,669.15/32,052.15
  6. Step 6: Final answer
    x = 14,799.90

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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.