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Finding the Fourth Proportional to 32,698, 49,047.16 and 8,074

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Solution

The fourth proportional to 32,698, 49,047.16 and 8,074 is: 12,111.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,698 : 49,047.16 = 8,074 : x
  2. Step 2: Convert to fraction form
    32,698/49,047.16 = 8,074/x
  3. Step 3: Cross multiply
    32,698x = 49,047.16 × 8,074
  4. Step 4: Simplify right side
    32,698x = 396,006,769.84
  5. Step 5: Solve for x
    x = 396,006,769.84/32,698
  6. Step 6: Final answer
    x = 12,111.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.