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Finding the Fourth Proportional to 38,390.52, 57,585.78 and 21,963

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Solution

The fourth proportional to 38,390.52, 57,585.78 and 21,963 is: 32,944.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,390.52 : 57,585.78 = 21,963 : x
  2. Step 2: Convert to fraction form
    38,390.52/57,585.78 = 21,963/x
  3. Step 3: Cross multiply
    38,390.52x = 57,585.78 × 21,963
  4. Step 4: Simplify right side
    38,390.52x = 1,264,756,486.14
  5. Step 5: Solve for x
    x = 1,264,756,486.14/38,390.52
  6. Step 6: Final answer
    x = 32,944.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.