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Finding the Fourth Proportional to 31,362.54, 47,044.08 and 7,989

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Solution

The fourth proportional to 31,362.54, 47,044.08 and 7,989 is: 11,983.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,362.54 : 47,044.08 = 7,989 : x
  2. Step 2: Convert to fraction form
    31,362.54/47,044.08 = 7,989/x
  3. Step 3: Cross multiply
    31,362.54x = 47,044.08 × 7,989
  4. Step 4: Simplify right side
    31,362.54x = 375,835,155.12
  5. Step 5: Solve for x
    x = 375,835,155.12/31,362.54
  6. Step 6: Final answer
    x = 11,983.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.