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Finding the Fourth Proportional to 58,502.66, 80,733.44 and 31,645.24

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Solution

The fourth proportional to 58,502.66, 80,733.44 and 31,645.24 is: 43,670.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,502.66 : 80,733.44 = 31,645.24 : x
  2. Step 2: Convert to fraction form
    58,502.66/80,733.44 = 31,645.24/x
  3. Step 3: Cross multiply
    58,502.66x = 80,733.44 × 31,645.24
  4. Step 4: Simplify right side
    58,502.66x = 2,554,829,084.83
  5. Step 5: Solve for x
    x = 2,554,829,084.83/58,502.66
  6. Step 6: Final answer
    x = 43,670.31

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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.