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Finding the Fourth Proportional to 32,039.30, 48,063.56 and 9,854.55

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Solution

The fourth proportional to 32,039.30, 48,063.56 and 9,854.55 is: 14,783.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,039.30 : 48,063.56 = 9,854.55 : x
  2. Step 2: Convert to fraction form
    32,039.30/48,063.56 = 9,854.55/x
  3. Step 3: Cross multiply
    32,039.30x = 48,063.56 × 9,854.55
  4. Step 4: Simplify right side
    32,039.30x = 473,644,705.93
  5. Step 5: Solve for x
    x = 473,644,705.93/32,039.30
  6. Step 6: Final answer
    x = 14,783.24

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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.