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Finding the Fourth Proportional to 34,122.42, 51,193.79 and 24,656.13

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Solution

The fourth proportional to 34,122.42, 51,193.79 and 24,656.13 is: 36,991.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,122.42 : 51,193.79 = 24,656.13 : x
  2. Step 2: Convert to fraction form
    34,122.42/51,193.79 = 24,656.13/x
  3. Step 3: Cross multiply
    34,122.42x = 51,193.79 × 24,656.13
  4. Step 4: Simplify right side
    34,122.42x = 1,262,240,362.18
  5. Step 5: Solve for x
    x = 1,262,240,362.18/34,122.42
  6. Step 6: Final answer
    x = 36,991.53

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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.