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Finding the Fourth Proportional to 81,599.47, 122,374.60 and 31,668.44

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Solution

The fourth proportional to 81,599.47, 122,374.60 and 31,668.44 is: 47,493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,599.47 : 122,374.60 = 31,668.44 : x
  2. Step 2: Convert to fraction form
    81,599.47/122,374.60 = 31,668.44/x
  3. Step 3: Cross multiply
    81,599.47x = 122,374.60 × 31,668.44
  4. Step 4: Simplify right side
    81,599.47x = 3,875,411,986.58
  5. Step 5: Solve for x
    x = 3,875,411,986.58/81,599.47
  6. Step 6: Final answer
    x = 47,493.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.