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Finding the Fourth Proportional to 34,730.50, 52,104.39 and 10,106.50

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Solution

The fourth proportional to 34,730.50, 52,104.39 and 10,106.50 is: 15,162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,730.50 : 52,104.39 = 10,106.50 : x
  2. Step 2: Convert to fraction form
    34,730.50/52,104.39 = 10,106.50/x
  3. Step 3: Cross multiply
    34,730.50x = 52,104.39 × 10,106.50
  4. Step 4: Simplify right side
    34,730.50x = 526,593,017.54
  5. Step 5: Solve for x
    x = 526,593,017.54/34,730.50
  6. Step 6: Final answer
    x = 15,162.26

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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.