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Finding the Fourth Proportional to 58,502.54, 80,733.56 and 31,644.96

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Solution

The fourth proportional to 58,502.54, 80,733.56 and 31,644.96 is: 43,670.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,502.54 : 80,733.56 = 31,644.96 : x
  2. Step 2: Convert to fraction form
    58,502.54/80,733.56 = 31,644.96/x
  3. Step 3: Cross multiply
    58,502.54x = 80,733.56 × 31,644.96
  4. Step 4: Simplify right side
    58,502.54x = 2,554,810,118.63
  5. Step 5: Solve for x
    x = 2,554,810,118.63/58,502.54
  6. Step 6: Final answer
    x = 43,670.08

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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.