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Finding the Fourth Proportional to 42,652.49, 63,847.52 and 27,829.49

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Solution

The fourth proportional to 42,652.49, 63,847.52 and 27,829.49 is: 41,658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,652.49 : 63,847.52 = 27,829.49 : x
  2. Step 2: Convert to fraction form
    42,652.49/63,847.52 = 27,829.49/x
  3. Step 3: Cross multiply
    42,652.49x = 63,847.52 × 27,829.49
  4. Step 4: Simplify right side
    42,652.49x = 1,776,843,780.22
  5. Step 5: Solve for x
    x = 1,776,843,780.22/42,652.49
  6. Step 6: Final answer
    x = 41,658.62

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1.5x scale

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.