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Finding the Fourth Proportional to 38,436.72, 53,014.68 and 29,382.54

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Solution

The fourth proportional to 38,436.72, 53,014.68 and 29,382.54 is: 40,526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,436.72 : 53,014.68 = 29,382.54 : x
  2. Step 2: Convert to fraction form
    38,436.72/53,014.68 = 29,382.54/x
  3. Step 3: Cross multiply
    38,436.72x = 53,014.68 × 29,382.54
  4. Step 4: Simplify right side
    38,436.72x = 1,557,705,955.69
  5. Step 5: Solve for x
    x = 1,557,705,955.69/38,436.72
  6. Step 6: Final answer
    x = 40,526.51

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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.