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Finding the Fourth Proportional to 41,281, 56,967.78 and 22,418.28

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Solution

The fourth proportional to 41,281, 56,967.78 and 22,418.28 is: 30,937.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,281 : 56,967.78 = 22,418.28 : x
  2. Step 2: Convert to fraction form
    41,281/56,967.78 = 22,418.28/x
  3. Step 3: Cross multiply
    41,281x = 56,967.78 × 22,418.28
  4. Step 4: Simplify right side
    41,281x = 1,277,119,643.02
  5. Step 5: Solve for x
    x = 1,277,119,643.02/41,281
  6. Step 6: Final answer
    x = 30,937.23

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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.