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Finding the Fourth Proportional to 34,153.65, 51,190.28 and 15,411.77

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Solution

The fourth proportional to 34,153.65, 51,190.28 and 15,411.77 is: 23,099.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,153.65 : 51,190.28 = 15,411.77 : x
  2. Step 2: Convert to fraction form
    34,153.65/51,190.28 = 15,411.77/x
  3. Step 3: Cross multiply
    34,153.65x = 51,190.28 × 15,411.77
  4. Step 4: Simplify right side
    34,153.65x = 788,932,738.34
  5. Step 5: Solve for x
    x = 788,932,738.34/34,153.65
  6. Step 6: Final answer
    x = 23,099.51

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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.