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Finding the Fourth Proportional to 38,151.74, 52,646.54 and 21,381.50

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Solution

The fourth proportional to 38,151.74, 52,646.54 and 21,381.50 is: 29,504.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,151.74 : 52,646.54 = 21,381.50 : x
  2. Step 2: Convert to fraction form
    38,151.74/52,646.54 = 21,381.50/x
  3. Step 3: Cross multiply
    38,151.74x = 52,646.54 × 21,381.50
  4. Step 4: Simplify right side
    38,151.74x = 1,125,661,995.01
  5. Step 5: Solve for x
    x = 1,125,661,995.01/38,151.74
  6. Step 6: Final answer
    x = 29,504.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.