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Finding the Fourth Proportional to 38,785.52, 53,518.17 and 21,786.50

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Solution

The fourth proportional to 38,785.52, 53,518.17 and 21,786.50 is: 30,062.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,785.52 : 53,518.17 = 21,786.50 : x
  2. Step 2: Convert to fraction form
    38,785.52/53,518.17 = 21,786.50/x
  3. Step 3: Cross multiply
    38,785.52x = 53,518.17 × 21,786.50
  4. Step 4: Simplify right side
    38,785.52x = 1,165,973,343.11
  5. Step 5: Solve for x
    x = 1,165,973,343.11/38,785.52
  6. Step 6: Final answer
    x = 30,062.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.