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Finding the Fourth Proportional to 81,048.32, 111,905.94 and 52,384.94

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Solution

The fourth proportional to 81,048.32, 111,905.94 and 52,384.94 is: 72,329.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,048.32 : 111,905.94 = 52,384.94 : x
  2. Step 2: Convert to fraction form
    81,048.32/111,905.94 = 52,384.94/x
  3. Step 3: Cross multiply
    81,048.32x = 111,905.94 × 52,384.94
  4. Step 4: Simplify right side
    81,048.32x = 5,862,185,393.01
  5. Step 5: Solve for x
    x = 5,862,185,393.01/81,048.32
  6. Step 6: Final answer
    x = 72,329.52

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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.