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Finding the Fourth Proportional to 76,232.52, 105,165.45 and 49,384.08

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Solution

The fourth proportional to 76,232.52, 105,165.45 and 49,384.08 is: 68,127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,232.52 : 105,165.45 = 49,384.08 : x
  2. Step 2: Convert to fraction form
    76,232.52/105,165.45 = 49,384.08/x
  3. Step 3: Cross multiply
    76,232.52x = 105,165.45 × 49,384.08
  4. Step 4: Simplify right side
    76,232.52x = 5,193,498,996.04
  5. Step 5: Solve for x
    x = 5,193,498,996.04/76,232.52
  6. Step 6: Final answer
    x = 68,127.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.