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Finding the Fourth Proportional to 58,658.82, 80,949.74 and 31,801.26

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Solution

The fourth proportional to 58,658.82, 80,949.74 and 31,801.26 is: 43,886.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,658.82 : 80,949.74 = 31,801.26 : x
  2. Step 2: Convert to fraction form
    58,658.82/80,949.74 = 31,801.26/x
  3. Step 3: Cross multiply
    58,658.82x = 80,949.74 × 31,801.26
  4. Step 4: Simplify right side
    58,658.82x = 2,574,303,569.67
  5. Step 5: Solve for x
    x = 2,574,303,569.67/58,658.82
  6. Step 6: Final answer
    x = 43,886.04

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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.