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Finding the Fourth Proportional to 32,057.06, 48,091.08 and 9,870

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Solution

The fourth proportional to 32,057.06, 48,091.08 and 9,870 is: 14,806.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,057.06 : 48,091.08 = 9,870 : x
  2. Step 2: Convert to fraction form
    32,057.06/48,091.08 = 9,870/x
  3. Step 3: Cross multiply
    32,057.06x = 48,091.08 × 9,870
  4. Step 4: Simplify right side
    32,057.06x = 474,658,959.60
  5. Step 5: Solve for x
    x = 474,658,959.60/32,057.06
  6. Step 6: Final answer
    x = 14,806.69

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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.