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Finding the Fourth Proportional to 38,431.41, 57,644.76 and 14,410.98

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Solution

The fourth proportional to 38,431.41, 57,644.76 and 14,410.98 is: 21,615.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,431.41 : 57,644.76 = 14,410.98 : x
  2. Step 2: Convert to fraction form
    38,431.41/57,644.76 = 14,410.98/x
  3. Step 3: Cross multiply
    38,431.41x = 57,644.76 × 14,410.98
  4. Step 4: Simplify right side
    38,431.41x = 830,717,483.46
  5. Step 5: Solve for x
    x = 830,717,483.46/38,431.41
  6. Step 6: Final answer
    x = 21,615.59

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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.