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Finding the Fourth Proportional to 81,699.60, 122,549.40 and 52,029.30

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Solution

The fourth proportional to 81,699.60, 122,549.40 and 52,029.30 is: 78,043.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,699.60 : 122,549.40 = 52,029.30 : x
  2. Step 2: Convert to fraction form
    81,699.60/122,549.40 = 52,029.30/x
  3. Step 3: Cross multiply
    81,699.60x = 122,549.40 × 52,029.30
  4. Step 4: Simplify right side
    81,699.60x = 6,376,159,497.42
  5. Step 5: Solve for x
    x = 6,376,159,497.42/81,699.60
  6. Step 6: Final answer
    x = 78,043.95

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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.