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Finding the Fourth Proportional to 56,615.92, 78,130.38 and 31,122.76

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Solution

The fourth proportional to 56,615.92, 78,130.38 and 31,122.76 is: 42,949.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,615.92 : 78,130.38 = 31,122.76 : x
  2. Step 2: Convert to fraction form
    56,615.92/78,130.38 = 31,122.76/x
  3. Step 3: Cross multiply
    56,615.92x = 78,130.38 × 31,122.76
  4. Step 4: Simplify right side
    56,615.92x = 2,431,633,065.45
  5. Step 5: Solve for x
    x = 2,431,633,065.45/56,615.92
  6. Step 6: Final answer
    x = 42,949.63

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Why These Related Problems?

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