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Finding the Fourth Proportional to 48,151.80, 72,214.74 and 16,983

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Solution

The fourth proportional to 48,151.80, 72,214.74 and 16,983 is: 25,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,151.80 : 72,214.74 = 16,983 : x
  2. Step 2: Convert to fraction form
    48,151.80/72,214.74 = 16,983/x
  3. Step 3: Cross multiply
    48,151.80x = 72,214.74 × 16,983
  4. Step 4: Simplify right side
    48,151.80x = 1,226,422,929.42
  5. Step 5: Solve for x
    x = 1,226,422,929.42/48,151.80
  6. Step 6: Final answer
    x = 25,469.93

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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.