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Finding the Fourth Proportional to 56,440.92, 77,889.22 and 30,947.24

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Solution

The fourth proportional to 56,440.92, 77,889.22 and 30,947.24 is: 42,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,440.92 : 77,889.22 = 30,947.24 : x
  2. Step 2: Convert to fraction form
    56,440.92/77,889.22 = 30,947.24/x
  3. Step 3: Cross multiply
    56,440.92x = 77,889.22 × 30,947.24
  4. Step 4: Simplify right side
    56,440.92x = 2,410,456,384.75
  5. Step 5: Solve for x
    x = 2,410,456,384.75/56,440.92
  6. Step 6: Final answer
    x = 42,707.60

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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.