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Finding the Fourth Proportional to 82,474.59, 113,809.21 and 48,484.51

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Solution

The fourth proportional to 82,474.59, 113,809.21 and 48,484.51 is: 66,905.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,474.59 : 113,809.21 = 48,484.51 : x
  2. Step 2: Convert to fraction form
    82,474.59/113,809.21 = 48,484.51/x
  3. Step 3: Cross multiply
    82,474.59x = 113,809.21 × 48,484.51
  4. Step 4: Simplify right side
    82,474.59x = 5,517,983,780.34
  5. Step 5: Solve for x
    x = 5,517,983,780.34/82,474.59
  6. Step 6: Final answer
    x = 66,905.26

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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.