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Finding the Fourth Proportional to 98,029.50, 147,044.25 and 24,157.50

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Solution

The fourth proportional to 98,029.50, 147,044.25 and 24,157.50 is: 36,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,029.50 : 147,044.25 = 24,157.50 : x
  2. Step 2: Convert to fraction form
    98,029.50/147,044.25 = 24,157.50/x
  3. Step 3: Cross multiply
    98,029.50x = 147,044.25 × 24,157.50
  4. Step 4: Simplify right side
    98,029.50x = 3,552,221,469.38
  5. Step 5: Solve for x
    x = 3,552,221,469.38/98,029.50
  6. Step 6: Final answer
    x = 36,236.25

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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.