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Finding the Fourth Proportional to 27,507.74, 37,814.70 and 23,665.34

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Solution

The fourth proportional to 27,507.74, 37,814.70 and 23,665.34 is: 32,532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,507.74 : 37,814.70 = 23,665.34 : x
  2. Step 2: Convert to fraction form
    27,507.74/37,814.70 = 23,665.34/x
  3. Step 3: Cross multiply
    27,507.74x = 37,814.70 × 23,665.34
  4. Step 4: Simplify right side
    27,507.74x = 894,897,543.42
  5. Step 5: Solve for x
    x = 894,897,543.42/27,507.74
  6. Step 6: Final answer
    x = 32,532.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.