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Finding the Fourth Proportional to 56,903.76, 78,527.24 and 31,753.24

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Solution

The fourth proportional to 56,903.76, 78,527.24 and 31,753.24 is: 43,819.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,903.76 : 78,527.24 = 31,753.24 : x
  2. Step 2: Convert to fraction form
    56,903.76/78,527.24 = 31,753.24/x
  3. Step 3: Cross multiply
    56,903.76x = 78,527.24 × 31,753.24
  4. Step 4: Simplify right side
    56,903.76x = 2,493,494,298.26
  5. Step 5: Solve for x
    x = 2,493,494,298.26/56,903.76
  6. Step 6: Final answer
    x = 43,819.50

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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.