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Finding the Fourth Proportional to 32,752.14, 45,152.16 and 27,696.06

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Solution

The fourth proportional to 32,752.14, 45,152.16 and 27,696.06 is: 38,181.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,752.14 : 45,152.16 = 27,696.06 : x
  2. Step 2: Convert to fraction form
    32,752.14/45,152.16 = 27,696.06/x
  3. Step 3: Cross multiply
    32,752.14x = 45,152.16 × 27,696.06
  4. Step 4: Simplify right side
    32,752.14x = 1,250,536,932.49
  5. Step 5: Solve for x
    x = 1,250,536,932.49/32,752.14
  6. Step 6: Final answer
    x = 38,181.84

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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.