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Finding the Fourth Proportional to 83,841.84, 125,774.01 and 30,526.90

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Solution

The fourth proportional to 83,841.84, 125,774.01 and 30,526.90 is: 45,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,841.84 : 125,774.01 = 30,526.90 : x
  2. Step 2: Convert to fraction form
    83,841.84/125,774.01 = 30,526.90/x
  3. Step 3: Cross multiply
    83,841.84x = 125,774.01 × 30,526.90
  4. Step 4: Simplify right side
    83,841.84x = 3,839,490,311.43
  5. Step 5: Solve for x
    x = 3,839,490,311.43/83,841.84
  6. Step 6: Final answer
    x = 45,794.44

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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.