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Finding the Fourth Proportional to 55,470.30, 83,205.45 and 48,909.30

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Solution

The fourth proportional to 55,470.30, 83,205.45 and 48,909.30 is: 73,363.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,470.30 : 83,205.45 = 48,909.30 : x
  2. Step 2: Convert to fraction form
    55,470.30/83,205.45 = 48,909.30/x
  3. Step 3: Cross multiply
    55,470.30x = 83,205.45 × 48,909.30
  4. Step 4: Simplify right side
    55,470.30x = 4,069,520,315.69
  5. Step 5: Solve for x
    x = 4,069,520,315.69/55,470.30
  6. Step 6: Final answer
    x = 73,363.95

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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.