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Finding the Fourth Proportional to 38,415.60, 53,034.41 and 26,542.76

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Solution

The fourth proportional to 38,415.60, 53,034.41 and 26,542.76 is: 36,643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,415.60 : 53,034.41 = 26,542.76 : x
  2. Step 2: Convert to fraction form
    38,415.60/53,034.41 = 26,542.76/x
  3. Step 3: Cross multiply
    38,415.60x = 53,034.41 × 26,542.76
  4. Step 4: Simplify right side
    38,415.60x = 1,407,679,417.56
  5. Step 5: Solve for x
    x = 1,407,679,417.56/38,415.60
  6. Step 6: Final answer
    x = 36,643.43

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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.