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Finding the Fourth Proportional to 82,803.30, 114,283.50 and 48,809.82

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Solution

The fourth proportional to 82,803.30, 114,283.50 and 48,809.82 is: 67,366.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,803.30 : 114,283.50 = 48,809.82 : x
  2. Step 2: Convert to fraction form
    82,803.30/114,283.50 = 48,809.82/x
  3. Step 3: Cross multiply
    82,803.30x = 114,283.50 × 48,809.82
  4. Step 4: Simplify right side
    82,803.30x = 5,578,157,063.97
  5. Step 5: Solve for x
    x = 5,578,157,063.97/82,803.30
  6. Step 6: Final answer
    x = 67,366.36

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Why These Related Problems?

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