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Finding the Fourth Proportional to 73,878.56, 101,952.24 and 40,344.80

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Solution

The fourth proportional to 73,878.56, 101,952.24 and 40,344.80 is: 55,675.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,878.56 : 101,952.24 = 40,344.80 : x
  2. Step 2: Convert to fraction form
    73,878.56/101,952.24 = 40,344.80/x
  3. Step 3: Cross multiply
    73,878.56x = 101,952.24 × 40,344.80
  4. Step 4: Simplify right side
    73,878.56x = 4,113,242,732.35
  5. Step 5: Solve for x
    x = 4,113,242,732.35/73,878.56
  6. Step 6: Final answer
    x = 55,675.73

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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.