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Finding the Fourth Proportional to 58,338, 80,506.44 and 31,842

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Solution

The fourth proportional to 58,338, 80,506.44 and 31,842 is: 43,941.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,338 : 80,506.44 = 31,842 : x
  2. Step 2: Convert to fraction form
    58,338/80,506.44 = 31,842/x
  3. Step 3: Cross multiply
    58,338x = 80,506.44 × 31,842
  4. Step 4: Simplify right side
    58,338x = 2,563,486,062.48
  5. Step 5: Solve for x
    x = 2,563,486,062.48/58,338
  6. Step 6: Final answer
    x = 43,941.96

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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.