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Finding the Fourth Proportional to 92,365.32, 138,543 and 36,215.52

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Solution

The fourth proportional to 92,365.32, 138,543 and 36,215.52 is: 54,321.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,365.32 : 138,543 = 36,215.52 : x
  2. Step 2: Convert to fraction form
    92,365.32/138,543 = 36,215.52/x
  3. Step 3: Cross multiply
    92,365.32x = 138,543 × 36,215.52
  4. Step 4: Simplify right side
    92,365.32x = 5,017,406,787.36
  5. Step 5: Solve for x
    x = 5,017,406,787.36/92,365.32
  6. Step 6: Final answer
    x = 54,321.33

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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.