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Finding the Fourth Proportional to 58,502.19, 80,733.03 and 31,644.69

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Solution

The fourth proportional to 58,502.19, 80,733.03 and 31,644.69 is: 43,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,502.19 : 80,733.03 = 31,644.69 : x
  2. Step 2: Convert to fraction form
    58,502.19/80,733.03 = 31,644.69/x
  3. Step 3: Cross multiply
    58,502.19x = 80,733.03 × 31,644.69
  4. Step 4: Simplify right side
    58,502.19x = 2,554,771,707.11
  5. Step 5: Solve for x
    x = 2,554,771,707.11/58,502.19
  6. Step 6: Final answer
    x = 43,669.68

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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.