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Finding the Fourth Proportional to 52,609.80, 78,882.30 and 30,412.20

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Solution

The fourth proportional to 52,609.80, 78,882.30 and 30,412.20 is: 45,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,609.80 : 78,882.30 = 30,412.20 : x
  2. Step 2: Convert to fraction form
    52,609.80/78,882.30 = 30,412.20/x
  3. Step 3: Cross multiply
    52,609.80x = 78,882.30 × 30,412.20
  4. Step 4: Simplify right side
    52,609.80x = 2,398,984,284.06
  5. Step 5: Solve for x
    x = 2,398,984,284.06/52,609.80
  6. Step 6: Final answer
    x = 45,599.57

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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.