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Finding the Fourth Proportional to 34,172.35, 51,260.06 and 10,478.16

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Solution

The fourth proportional to 34,172.35, 51,260.06 and 10,478.16 is: 15,717.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,172.35 : 51,260.06 = 10,478.16 : x
  2. Step 2: Convert to fraction form
    34,172.35/51,260.06 = 10,478.16/x
  3. Step 3: Cross multiply
    34,172.35x = 51,260.06 × 10,478.16
  4. Step 4: Simplify right side
    34,172.35x = 537,111,110.29
  5. Step 5: Solve for x
    x = 537,111,110.29/34,172.35
  6. Step 6: Final answer
    x = 15,717.71

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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.