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Finding the Fourth Proportional to 37,680.64, 52,065.64 and 29,678.96

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Solution

The fourth proportional to 37,680.64, 52,065.64 and 29,678.96 is: 41,009.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,680.64 : 52,065.64 = 29,678.96 : x
  2. Step 2: Convert to fraction form
    37,680.64/52,065.64 = 29,678.96/x
  3. Step 3: Cross multiply
    37,680.64x = 52,065.64 × 29,678.96
  4. Step 4: Simplify right side
    37,680.64x = 1,545,253,754.38
  5. Step 5: Solve for x
    x = 1,545,253,754.38/37,680.64
  6. Step 6: Final answer
    x = 41,009.22

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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.