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Finding the Fourth Proportional to 51,882.88, 77,707.20 and 31,062.40

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Solution

The fourth proportional to 51,882.88, 77,707.20 and 31,062.40 is: 46,523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,882.88 : 77,707.20 = 31,062.40 : x
  2. Step 2: Convert to fraction form
    51,882.88/77,707.20 = 31,062.40/x
  3. Step 3: Cross multiply
    51,882.88x = 77,707.20 × 31,062.40
  4. Step 4: Simplify right side
    51,882.88x = 2,413,772,129.28
  5. Step 5: Solve for x
    x = 2,413,772,129.28/51,882.88
  6. Step 6: Final answer
    x = 46,523.48

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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.