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Finding the Fourth Proportional to 75,296.25, 112,921.34 and 25,362.96

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Solution

The fourth proportional to 75,296.25, 112,921.34 and 25,362.96 is: 38,036.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,296.25 : 112,921.34 = 25,362.96 : x
  2. Step 2: Convert to fraction form
    75,296.25/112,921.34 = 25,362.96/x
  3. Step 3: Cross multiply
    75,296.25x = 112,921.34 × 25,362.96
  4. Step 4: Simplify right side
    75,296.25x = 2,864,019,302.75
  5. Step 5: Solve for x
    x = 2,864,019,302.75/75,296.25
  6. Step 6: Final answer
    x = 38,036.68

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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.