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Finding the Fourth Proportional to 84,356.94, 126,493.68 and 28,177.74

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Solution

The fourth proportional to 84,356.94, 126,493.68 and 28,177.74 is: 42,252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,356.94 : 126,493.68 = 28,177.74 : x
  2. Step 2: Convert to fraction form
    84,356.94/126,493.68 = 28,177.74/x
  3. Step 3: Cross multiply
    84,356.94x = 126,493.68 × 28,177.74
  4. Step 4: Simplify right side
    84,356.94x = 3,564,306,026.68
  5. Step 5: Solve for x
    x = 3,564,306,026.68/84,356.94
  6. Step 6: Final answer
    x = 42,252.67

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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.