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Finding the Fourth Proportional to 35,454.80, 48,945.12 and 24,182.84

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Solution

The fourth proportional to 35,454.80, 48,945.12 and 24,182.84 is: 33,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,454.80 : 48,945.12 = 24,182.84 : x
  2. Step 2: Convert to fraction form
    35,454.80/48,945.12 = 24,182.84/x
  3. Step 3: Cross multiply
    35,454.80x = 48,945.12 × 24,182.84
  4. Step 4: Simplify right side
    35,454.80x = 1,183,632,005.74
  5. Step 5: Solve for x
    x = 1,183,632,005.74/35,454.80
  6. Step 6: Final answer
    x = 33,384.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.