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Finding the Fourth Proportional to 32,527.12, 44,862.66 and 27,997.51

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Solution

The fourth proportional to 32,527.12, 44,862.66 and 27,997.51 is: 38,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,527.12 : 44,862.66 = 27,997.51 : x
  2. Step 2: Convert to fraction form
    32,527.12/44,862.66 = 27,997.51/x
  3. Step 3: Cross multiply
    32,527.12x = 44,862.66 × 27,997.51
  4. Step 4: Simplify right side
    32,527.12x = 1,256,042,771.98
  5. Step 5: Solve for x
    x = 1,256,042,771.98/32,527.12
  6. Step 6: Final answer
    x = 38,615.25

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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.