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Finding the Fourth Proportional to 47,099.39, 64,959.54 and 30,983.24

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Solution

The fourth proportional to 47,099.39, 64,959.54 and 30,983.24 is: 42,732.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,099.39 : 64,959.54 = 30,983.24 : x
  2. Step 2: Convert to fraction form
    47,099.39/64,959.54 = 30,983.24/x
  3. Step 3: Cross multiply
    47,099.39x = 64,959.54 × 30,983.24
  4. Step 4: Simplify right side
    47,099.39x = 2,012,656,693.31
  5. Step 5: Solve for x
    x = 2,012,656,693.31/47,099.39
  6. Step 6: Final answer
    x = 42,732.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.