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Finding the Fourth Proportional to 57,189.70, 78,926.16 and 32,995

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Solution

The fourth proportional to 57,189.70, 78,926.16 and 32,995 is: 45,535.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,189.70 : 78,926.16 = 32,995 : x
  2. Step 2: Convert to fraction form
    57,189.70/78,926.16 = 32,995/x
  3. Step 3: Cross multiply
    57,189.70x = 78,926.16 × 32,995
  4. Step 4: Simplify right side
    57,189.70x = 2,604,168,649.20
  5. Step 5: Solve for x
    x = 2,604,168,649.20/57,189.70
  6. Step 6: Final answer
    x = 45,535.62

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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.