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Finding the Fourth Proportional to 34,691.81, 52,040.03 and 12,199.79

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Solution

The fourth proportional to 34,691.81, 52,040.03 and 12,199.79 is: 18,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,691.81 : 52,040.03 = 12,199.79 : x
  2. Step 2: Convert to fraction form
    34,691.81/52,040.03 = 12,199.79/x
  3. Step 3: Cross multiply
    34,691.81x = 52,040.03 × 12,199.79
  4. Step 4: Simplify right side
    34,691.81x = 634,877,116.39
  5. Step 5: Solve for x
    x = 634,877,116.39/34,691.81
  6. Step 6: Final answer
    x = 18,300.49

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Why These Related Problems?

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