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Finding the Fourth Proportional to 52,079.34, 77,965.41 and 32,294.22

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Solution

The fourth proportional to 52,079.34, 77,965.41 and 32,294.22 is: 48,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,079.34 : 77,965.41 = 32,294.22 : x
  2. Step 2: Convert to fraction form
    52,079.34/77,965.41 = 32,294.22/x
  3. Step 3: Cross multiply
    52,079.34x = 77,965.41 × 32,294.22
  4. Step 4: Simplify right side
    52,079.34x = 2,517,832,102.93
  5. Step 5: Solve for x
    x = 2,517,832,102.93/52,079.34
  6. Step 6: Final answer
    x = 48,346.08

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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.