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Finding the Fourth Proportional to 131,306, 196,959.24 and 32,810

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Solution

The fourth proportional to 131,306, 196,959.24 and 32,810 is: 49,215.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,306 : 196,959.24 = 32,810 : x
  2. Step 2: Convert to fraction form
    131,306/196,959.24 = 32,810/x
  3. Step 3: Cross multiply
    131,306x = 196,959.24 × 32,810
  4. Step 4: Simplify right side
    131,306x = 6,462,232,664.40
  5. Step 5: Solve for x
    x = 6,462,232,664.40/131,306
  6. Step 6: Final answer
    x = 49,215.06

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