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Finding the Fourth Proportional to 50,390.78, 75,470.97 and 24,113.98

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Solution

The fourth proportional to 50,390.78, 75,470.97 and 24,113.98 is: 36,115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,390.78 : 75,470.97 = 24,113.98 : x
  2. Step 2: Convert to fraction form
    50,390.78/75,470.97 = 24,113.98/x
  3. Step 3: Cross multiply
    50,390.78x = 75,470.97 × 24,113.98
  4. Step 4: Simplify right side
    50,390.78x = 1,819,905,461.16
  5. Step 5: Solve for x
    x = 1,819,905,461.16/50,390.78
  6. Step 6: Final answer
    x = 36,115.84

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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.