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Finding the Fourth Proportional to 75,098.93, 112,524 and 52,803.38

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Solution

The fourth proportional to 75,098.93, 112,524 and 52,803.38 is: 79,117.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,098.93 : 112,524 = 52,803.38 : x
  2. Step 2: Convert to fraction form
    75,098.93/112,524 = 52,803.38/x
  3. Step 3: Cross multiply
    75,098.93x = 112,524 × 52,803.38
  4. Step 4: Simplify right side
    75,098.93x = 5,941,647,531.12
  5. Step 5: Solve for x
    x = 5,941,647,531.12/75,098.93
  6. Step 6: Final answer
    x = 79,117.61

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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.