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Finding the Fourth Proportional to 77,793.14, 107,322.87 and 57,423.98

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Solution

The fourth proportional to 77,793.14, 107,322.87 and 57,423.98 is: 79,221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,793.14 : 107,322.87 = 57,423.98 : x
  2. Step 2: Convert to fraction form
    77,793.14/107,322.87 = 57,423.98/x
  3. Step 3: Cross multiply
    77,793.14x = 107,322.87 × 57,423.98
  4. Step 4: Simplify right side
    77,793.14x = 6,162,905,803.81
  5. Step 5: Solve for x
    x = 6,162,905,803.81/77,793.14
  6. Step 6: Final answer
    x = 79,221.72

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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.