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Finding the Fourth Proportional to 66,920.96, 92,352 and 38,629.12

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Solution

The fourth proportional to 66,920.96, 92,352 and 38,629.12 is: 53,308.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,920.96 : 92,352 = 38,629.12 : x
  2. Step 2: Convert to fraction form
    66,920.96/92,352 = 38,629.12/x
  3. Step 3: Cross multiply
    66,920.96x = 92,352 × 38,629.12
  4. Step 4: Simplify right side
    66,920.96x = 3,567,476,490.24
  5. Step 5: Solve for x
    x = 3,567,476,490.24/66,920.96
  6. Step 6: Final answer
    x = 53,308.81

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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.