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Finding the Fourth Proportional to 35,463, 48,943.80 and 22,885.32

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Solution

The fourth proportional to 35,463, 48,943.80 and 22,885.32 is: 31,584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,463 : 48,943.80 = 22,885.32 : x
  2. Step 2: Convert to fraction form
    35,463/48,943.80 = 22,885.32/x
  3. Step 3: Cross multiply
    35,463x = 48,943.80 × 22,885.32
  4. Step 4: Simplify right side
    35,463x = 1,120,094,525.02
  5. Step 5: Solve for x
    x = 1,120,094,525.02/35,463
  6. Step 6: Final answer
    x = 31,584.88

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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.