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Finding the Fourth Proportional to 82,808.40, 114,272.16 and 45,082.56

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Solution

The fourth proportional to 82,808.40, 114,272.16 and 45,082.56 is: 62,212.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,808.40 : 114,272.16 = 45,082.56 : x
  2. Step 2: Convert to fraction form
    82,808.40/114,272.16 = 45,082.56/x
  3. Step 3: Cross multiply
    82,808.40x = 114,272.16 × 45,082.56
  4. Step 4: Simplify right side
    82,808.40x = 5,151,681,509.53
  5. Step 5: Solve for x
    x = 5,151,681,509.53/82,808.40
  6. Step 6: Final answer
    x = 62,212.06

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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.