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Finding the Fourth Proportional to 42,129.32, 58,164.75 and 26,824.50

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Solution

The fourth proportional to 42,129.32, 58,164.75 and 26,824.50 is: 37,034.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,129.32 : 58,164.75 = 26,824.50 : x
  2. Step 2: Convert to fraction form
    42,129.32/58,164.75 = 26,824.50/x
  3. Step 3: Cross multiply
    42,129.32x = 58,164.75 × 26,824.50
  4. Step 4: Simplify right side
    42,129.32x = 1,560,240,336.38
  5. Step 5: Solve for x
    x = 1,560,240,336.38/42,129.32
  6. Step 6: Final answer
    x = 37,034.55

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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.