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Finding the Fourth Proportional to 52,952.40, 73,138.14 and 42,234.48

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Solution

The fourth proportional to 52,952.40, 73,138.14 and 42,234.48 is: 58,334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,952.40 : 73,138.14 = 42,234.48 : x
  2. Step 2: Convert to fraction form
    52,952.40/73,138.14 = 42,234.48/x
  3. Step 3: Cross multiply
    52,952.40x = 73,138.14 × 42,234.48
  4. Step 4: Simplify right side
    52,952.40x = 3,088,951,311.07
  5. Step 5: Solve for x
    x = 3,088,951,311.07/52,952.40
  6. Step 6: Final answer
    x = 58,334.49

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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.