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Finding the Fourth Proportional to 48,833.82, 67,415.76 and 31,862.70

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Solution

The fourth proportional to 48,833.82, 67,415.76 and 31,862.70 is: 43,986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,833.82 : 67,415.76 = 31,862.70 : x
  2. Step 2: Convert to fraction form
    48,833.82/67,415.76 = 31,862.70/x
  3. Step 3: Cross multiply
    48,833.82x = 67,415.76 × 31,862.70
  4. Step 4: Simplify right side
    48,833.82x = 2,148,048,136.15
  5. Step 5: Solve for x
    x = 2,148,048,136.15/48,833.82
  6. Step 6: Final answer
    x = 43,986.90

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1.5x scale

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.