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Finding the Fourth Proportional to 32,674.83, 49,008.34 and 8,984.78

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Solution

The fourth proportional to 32,674.83, 49,008.34 and 8,984.78 is: 13,476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,674.83 : 49,008.34 = 8,984.78 : x
  2. Step 2: Convert to fraction form
    32,674.83/49,008.34 = 8,984.78/x
  3. Step 3: Cross multiply
    32,674.83x = 49,008.34 × 8,984.78
  4. Step 4: Simplify right side
    32,674.83x = 440,329,128.31
  5. Step 5: Solve for x
    x = 440,329,128.31/32,674.83
  6. Step 6: Final answer
    x = 13,476.10

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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.