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Finding the Fourth Proportional to 41,838.88, 57,738 and 22,978.08

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Solution

The fourth proportional to 41,838.88, 57,738 and 22,978.08 is: 31,709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,838.88 : 57,738 = 22,978.08 : x
  2. Step 2: Convert to fraction form
    41,838.88/57,738 = 22,978.08/x
  3. Step 3: Cross multiply
    41,838.88x = 57,738 × 22,978.08
  4. Step 4: Simplify right side
    41,838.88x = 1,326,708,383.04
  5. Step 5: Solve for x
    x = 1,326,708,383.04/41,838.88
  6. Step 6: Final answer
    x = 31,709.94

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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.