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Finding the Fourth Proportional to 75,505.40, 113,229.30 and 22,897.40

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Solution

The fourth proportional to 75,505.40, 113,229.30 and 22,897.40 is: 34,337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,505.40 : 113,229.30 = 22,897.40 : x
  2. Step 2: Convert to fraction form
    75,505.40/113,229.30 = 22,897.40/x
  3. Step 3: Cross multiply
    75,505.40x = 113,229.30 × 22,897.40
  4. Step 4: Simplify right side
    75,505.40x = 2,592,656,573.82
  5. Step 5: Solve for x
    x = 2,592,656,573.82/75,505.40
  6. Step 6: Final answer
    x = 34,337.37

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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.