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Finding the Fourth Proportional to 32,952.68, 49,478.34 and 28,524.08

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Solution

The fourth proportional to 32,952.68, 49,478.34 and 28,524.08 is: 42,828.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,952.68 : 49,478.34 = 28,524.08 : x
  2. Step 2: Convert to fraction form
    32,952.68/49,478.34 = 28,524.08/x
  3. Step 3: Cross multiply
    32,952.68x = 49,478.34 × 28,524.08
  4. Step 4: Simplify right side
    32,952.68x = 1,411,324,128.43
  5. Step 5: Solve for x
    x = 1,411,324,128.43/32,952.68
  6. Step 6: Final answer
    x = 42,828.81

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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.