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Finding the Fourth Proportional to 75,314.84, 112,973.08 and 22,724.78

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Solution

The fourth proportional to 75,314.84, 112,973.08 and 22,724.78 is: 34,087.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,314.84 : 112,973.08 = 22,724.78 : x
  2. Step 2: Convert to fraction form
    75,314.84/112,973.08 = 22,724.78/x
  3. Step 3: Cross multiply
    75,314.84x = 112,973.08 × 22,724.78
  4. Step 4: Simplify right side
    75,314.84x = 2,567,288,388.92
  5. Step 5: Solve for x
    x = 2,567,288,388.92/75,314.84
  6. Step 6: Final answer
    x = 34,087.42

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1.5x scale

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.