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Finding the Fourth Proportional to 27,507.23, 37,814.02 and 23,664.84

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Solution

The fourth proportional to 27,507.23, 37,814.02 and 23,664.84 is: 32,531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,507.23 : 37,814.02 = 23,664.84 : x
  2. Step 2: Convert to fraction form
    27,507.23/37,814.02 = 23,664.84/x
  3. Step 3: Cross multiply
    27,507.23x = 37,814.02 × 23,664.84
  4. Step 4: Simplify right side
    27,507.23x = 894,862,733.06
  5. Step 5: Solve for x
    x = 894,862,733.06/27,507.23
  6. Step 6: Final answer
    x = 32,531.91

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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.