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Finding the Fourth Proportional to 98,412.96, 147,620 and 24,540.96

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Solution

The fourth proportional to 98,412.96, 147,620 and 24,540.96 is: 36,811.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,412.96 : 147,620 = 24,540.96 : x
  2. Step 2: Convert to fraction form
    98,412.96/147,620 = 24,540.96/x
  3. Step 3: Cross multiply
    98,412.96x = 147,620 × 24,540.96
  4. Step 4: Simplify right side
    98,412.96x = 3,622,736,515.20
  5. Step 5: Solve for x
    x = 3,622,736,515.20/98,412.96
  6. Step 6: Final answer
    x = 36,811.58

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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.