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Finding the Fourth Proportional to 84,292.92, 126,438.44 and 48,731.60

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Solution

The fourth proportional to 84,292.92, 126,438.44 and 48,731.60 is: 73,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,292.92 : 126,438.44 = 48,731.60 : x
  2. Step 2: Convert to fraction form
    84,292.92/126,438.44 = 48,731.60/x
  3. Step 3: Cross multiply
    84,292.92x = 126,438.44 × 48,731.60
  4. Step 4: Simplify right side
    84,292.92x = 6,161,547,482.70
  5. Step 5: Solve for x
    x = 6,161,547,482.70/84,292.92
  6. Step 6: Final answer
    x = 73,096.86

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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.