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Finding the Fourth Proportional to 92,641.86, 127,846.38 and 50,200.74

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Solution

The fourth proportional to 92,641.86, 127,846.38 and 50,200.74 is: 69,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,641.86 : 127,846.38 = 50,200.74 : x
  2. Step 2: Convert to fraction form
    92,641.86/127,846.38 = 50,200.74/x
  3. Step 3: Cross multiply
    92,641.86x = 127,846.38 × 50,200.74
  4. Step 4: Simplify right side
    92,641.86x = 6,417,982,882.32
  5. Step 5: Solve for x
    x = 6,417,982,882.32/92,641.86
  6. Step 6: Final answer
    x = 69,277.35

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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.