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Finding the Fourth Proportional to 66,594.92, 91,905.24 and 38,300

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Solution

The fourth proportional to 66,594.92, 91,905.24 and 38,300 is: 52,856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,594.92 : 91,905.24 = 38,300 : x
  2. Step 2: Convert to fraction form
    66,594.92/91,905.24 = 38,300/x
  3. Step 3: Cross multiply
    66,594.92x = 91,905.24 × 38,300
  4. Step 4: Simplify right side
    66,594.92x = 3,519,970,692
  5. Step 5: Solve for x
    x = 3,519,970,692/66,594.92
  6. Step 6: Final answer
    x = 52,856.44

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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.