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Finding the Fourth Proportional to 34,734.92, 52,106.79 and 11,034

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Solution

The fourth proportional to 34,734.92, 52,106.79 and 11,034 is: 16,552.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,734.92 : 52,106.79 = 11,034 : x
  2. Step 2: Convert to fraction form
    34,734.92/52,106.79 = 11,034/x
  3. Step 3: Cross multiply
    34,734.92x = 52,106.79 × 11,034
  4. Step 4: Simplify right side
    34,734.92x = 574,946,320.86
  5. Step 5: Solve for x
    x = 574,946,320.86/34,734.92
  6. Step 6: Final answer
    x = 16,552.40

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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.