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Finding the Fourth Proportional to 82,817.46, 114,298.38 and 47,019.06

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Solution

The fourth proportional to 82,817.46, 114,298.38 and 47,019.06 is: 64,892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,817.46 : 114,298.38 = 47,019.06 : x
  2. Step 2: Convert to fraction form
    82,817.46/114,298.38 = 47,019.06/x
  3. Step 3: Cross multiply
    82,817.46x = 114,298.38 × 47,019.06
  4. Step 4: Simplify right side
    82,817.46x = 5,374,202,387.12
  5. Step 5: Solve for x
    x = 5,374,202,387.12/82,817.46
  6. Step 6: Final answer
    x = 64,892.14

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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.