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Finding the Fourth Proportional to 32,502.82, 44,867.70 and 19,760.07

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Solution

The fourth proportional to 32,502.82, 44,867.70 and 19,760.07 is: 27,277.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,502.82 : 44,867.70 = 19,760.07 : x
  2. Step 2: Convert to fraction form
    32,502.82/44,867.70 = 19,760.07/x
  3. Step 3: Cross multiply
    32,502.82x = 44,867.70 × 19,760.07
  4. Step 4: Simplify right side
    32,502.82x = 886,588,892.74
  5. Step 5: Solve for x
    x = 886,588,892.74/32,502.82
  6. Step 6: Final answer
    x = 27,277.29

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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.