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Finding the Fourth Proportional to 48,178.98, 66,506.31 and 31,823.82

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Solution

The fourth proportional to 48,178.98, 66,506.31 and 31,823.82 is: 43,929.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,178.98 : 66,506.31 = 31,823.82 : x
  2. Step 2: Convert to fraction form
    48,178.98/66,506.31 = 31,823.82/x
  3. Step 3: Cross multiply
    48,178.98x = 66,506.31 × 31,823.82
  4. Step 4: Simplify right side
    48,178.98x = 2,116,484,838.30
  5. Step 5: Solve for x
    x = 2,116,484,838.30/48,178.98
  6. Step 6: Final answer
    x = 43,929.63

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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.