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Finding the Fourth Proportional to 32,674.65, 49,006.06 and 8,659.11

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Solution

The fourth proportional to 32,674.65, 49,006.06 and 8,659.11 is: 12,987.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,674.65 : 49,006.06 = 8,659.11 : x
  2. Step 2: Convert to fraction form
    32,674.65/49,006.06 = 8,659.11/x
  3. Step 3: Cross multiply
    32,674.65x = 49,006.06 × 8,659.11
  4. Step 4: Simplify right side
    32,674.65x = 424,348,864.21
  5. Step 5: Solve for x
    x = 424,348,864.21/32,674.65
  6. Step 6: Final answer
    x = 12,987.10

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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.