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Finding the Fourth Proportional to 38,429.41, 57,641.78 and 14,408.97

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Solution

The fourth proportional to 38,429.41, 57,641.78 and 14,408.97 is: 21,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,429.41 : 57,641.78 = 14,408.97 : x
  2. Step 2: Convert to fraction form
    38,429.41/57,641.78 = 14,408.97/x
  3. Step 3: Cross multiply
    38,429.41x = 57,641.78 × 14,408.97
  4. Step 4: Simplify right side
    38,429.41x = 830,558,318.51
  5. Step 5: Solve for x
    x = 830,558,318.51/38,429.41
  6. Step 6: Final answer
    x = 21,612.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.