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Finding the Fourth Proportional to 32,465.08, 44,701.88 and 27,674.28

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Solution

The fourth proportional to 32,465.08, 44,701.88 and 27,674.28 is: 38,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,465.08 : 44,701.88 = 27,674.28 : x
  2. Step 2: Convert to fraction form
    32,465.08/44,701.88 = 27,674.28/x
  3. Step 3: Cross multiply
    32,465.08x = 44,701.88 × 27,674.28
  4. Step 4: Simplify right side
    32,465.08x = 1,237,092,343.65
  5. Step 5: Solve for x
    x = 1,237,092,343.65/32,465.08
  6. Step 6: Final answer
    x = 38,105.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.