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Finding the Fourth Proportional to 32,410.20, 48,557.70 and 27,802.20

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Solution

The fourth proportional to 32,410.20, 48,557.70 and 27,802.20 is: 41,653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,410.20 : 48,557.70 = 27,802.20 : x
  2. Step 2: Convert to fraction form
    32,410.20/48,557.70 = 27,802.20/x
  3. Step 3: Cross multiply
    32,410.20x = 48,557.70 × 27,802.20
  4. Step 4: Simplify right side
    32,410.20x = 1,350,010,886.94
  5. Step 5: Solve for x
    x = 1,350,010,886.94/32,410.20
  6. Step 6: Final answer
    x = 41,653.89

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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.