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Finding the Fourth Proportional to 75,435.52, 113,165.52 and 25,518.65

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Solution

The fourth proportional to 75,435.52, 113,165.52 and 25,518.65 is: 38,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,435.52 : 113,165.52 = 25,518.65 : x
  2. Step 2: Convert to fraction form
    75,435.52/113,165.52 = 25,518.65/x
  3. Step 3: Cross multiply
    75,435.52x = 113,165.52 × 25,518.65
  4. Step 4: Simplify right side
    75,435.52x = 2,887,831,296.95
  5. Step 5: Solve for x
    x = 2,887,831,296.95/75,435.52
  6. Step 6: Final answer
    x = 38,282.12

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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.