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Finding the Fourth Proportional to 32,283.72, 48,455.28 and 23,287.14

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Solution

The fourth proportional to 32,283.72, 48,455.28 and 23,287.14 is: 34,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,283.72 : 48,455.28 = 23,287.14 : x
  2. Step 2: Convert to fraction form
    32,283.72/48,455.28 = 23,287.14/x
  3. Step 3: Cross multiply
    32,283.72x = 48,455.28 × 23,287.14
  4. Step 4: Simplify right side
    32,283.72x = 1,128,384,889.10
  5. Step 5: Solve for x
    x = 1,128,384,889.10/32,283.72
  6. Step 6: Final answer
    x = 34,952.13

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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.