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Finding the Fourth Proportional to 75,045, 112,544 and 25,113.42

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Solution

The fourth proportional to 75,045, 112,544 and 25,113.42 is: 37,662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,045 : 112,544 = 25,113.42 : x
  2. Step 2: Convert to fraction form
    75,045/112,544 = 25,113.42/x
  3. Step 3: Cross multiply
    75,045x = 112,544 × 25,113.42
  4. Step 4: Simplify right side
    75,045x = 2,826,364,740.48
  5. Step 5: Solve for x
    x = 2,826,364,740.48/75,045
  6. Step 6: Final answer
    x = 37,662.27

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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.