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Finding the Fourth Proportional to 38,722.83, 53,453.88 and 26,164.59

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Solution

The fourth proportional to 38,722.83, 53,453.88 and 26,164.59 is: 36,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,722.83 : 53,453.88 = 26,164.59 : x
  2. Step 2: Convert to fraction form
    38,722.83/53,453.88 = 26,164.59/x
  3. Step 3: Cross multiply
    38,722.83x = 53,453.88 × 26,164.59
  4. Step 4: Simplify right side
    38,722.83x = 1,398,598,854.11
  5. Step 5: Solve for x
    x = 1,398,598,854.11/38,722.83
  6. Step 6: Final answer
    x = 36,118.20

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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.