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Finding the Fourth Proportional to 75,387, 113,080.50 and 22,795.32

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Solution

The fourth proportional to 75,387, 113,080.50 and 22,795.32 is: 34,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,387 : 113,080.50 = 22,795.32 : x
  2. Step 2: Convert to fraction form
    75,387/113,080.50 = 22,795.32/x
  3. Step 3: Cross multiply
    75,387x = 113,080.50 × 22,795.32
  4. Step 4: Simplify right side
    75,387x = 2,577,706,183.26
  5. Step 5: Solve for x
    x = 2,577,706,183.26/75,387
  6. Step 6: Final answer
    x = 34,192.98

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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.