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Finding the Fourth Proportional to 32,840, 49,266.92 and 10,651.65

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Solution

The fourth proportional to 32,840, 49,266.92 and 10,651.65 is: 15,979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,840 : 49,266.92 = 10,651.65 : x
  2. Step 2: Convert to fraction form
    32,840/49,266.92 = 10,651.65/x
  3. Step 3: Cross multiply
    32,840x = 49,266.92 × 10,651.65
  4. Step 4: Simplify right side
    32,840x = 524,773,988.42
  5. Step 5: Solve for x
    x = 524,773,988.42/32,840
  6. Step 6: Final answer
    x = 15,979.72

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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.