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Finding the Fourth Proportional to 49,265.12, 67,975.80 and 28,038.80

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Solution

The fourth proportional to 49,265.12, 67,975.80 and 28,038.80 is: 38,687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,265.12 : 67,975.80 = 28,038.80 : x
  2. Step 2: Convert to fraction form
    49,265.12/67,975.80 = 28,038.80/x
  3. Step 3: Cross multiply
    49,265.12x = 67,975.80 × 28,038.80
  4. Step 4: Simplify right side
    49,265.12x = 1,905,959,861.04
  5. Step 5: Solve for x
    x = 1,905,959,861.04/49,265.12
  6. Step 6: Final answer
    x = 38,687.82

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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.