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Finding the Fourth Proportional to 38,833.67, 53,608.50 and 29,277.42

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Solution

The fourth proportional to 38,833.67, 53,608.50 and 29,277.42 is: 40,416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,833.67 : 53,608.50 = 29,277.42 : x
  2. Step 2: Convert to fraction form
    38,833.67/53,608.50 = 29,277.42/x
  3. Step 3: Cross multiply
    38,833.67x = 53,608.50 × 29,277.42
  4. Step 4: Simplify right side
    38,833.67x = 1,569,518,570.07
  5. Step 5: Solve for x
    x = 1,569,518,570.07/38,833.67
  6. Step 6: Final answer
    x = 40,416.44

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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.