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Finding the Fourth Proportional to 92,683.86, 138,932.31 and 36,502.26

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Solution

The fourth proportional to 92,683.86, 138,932.31 and 36,502.26 is: 54,716.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,683.86 : 138,932.31 = 36,502.26 : x
  2. Step 2: Convert to fraction form
    92,683.86/138,932.31 = 36,502.26/x
  3. Step 3: Cross multiply
    92,683.86x = 138,932.31 × 36,502.26
  4. Step 4: Simplify right side
    92,683.86x = 5,071,343,699.40
  5. Step 5: Solve for x
    x = 5,071,343,699.40/92,683.86
  6. Step 6: Final answer
    x = 54,716.58

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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.