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Finding the Fourth Proportional to 75,480.95, 113,253.75 and 25,566.32

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Solution

The fourth proportional to 75,480.95, 113,253.75 and 25,566.32 is: 38,360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,480.95 : 113,253.75 = 25,566.32 : x
  2. Step 2: Convert to fraction form
    75,480.95/113,253.75 = 25,566.32/x
  3. Step 3: Cross multiply
    75,480.95x = 113,253.75 × 25,566.32
  4. Step 4: Simplify right side
    75,480.95x = 2,895,481,047.43
  5. Step 5: Solve for x
    x = 2,895,481,047.43/75,480.95
  6. Step 6: Final answer
    x = 38,360.42

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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.