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Finding the Fourth Proportional to 35,523.20, 53,284.80 and 24,924.80

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Solution

The fourth proportional to 35,523.20, 53,284.80 and 24,924.80 is: 37,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,523.20 : 53,284.80 = 24,924.80 : x
  2. Step 2: Convert to fraction form
    35,523.20/53,284.80 = 24,924.80/x
  3. Step 3: Cross multiply
    35,523.20x = 53,284.80 × 24,924.80
  4. Step 4: Simplify right side
    35,523.20x = 1,328,112,983.04
  5. Step 5: Solve for x
    x = 1,328,112,983.04/35,523.20
  6. Step 6: Final answer
    x = 37,387.20

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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.