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Finding the Fourth Proportional to 82,322.84, 113,647.92 and 52,139.72

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Solution

The fourth proportional to 82,322.84, 113,647.92 and 52,139.72 is: 71,979.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,322.84 : 113,647.92 = 52,139.72 : x
  2. Step 2: Convert to fraction form
    82,322.84/113,647.92 = 52,139.72/x
  3. Step 3: Cross multiply
    82,322.84x = 113,647.92 × 52,139.72
  4. Step 4: Simplify right side
    82,322.84x = 5,925,570,727.38
  5. Step 5: Solve for x
    x = 5,925,570,727.38/82,322.84
  6. Step 6: Final answer
    x = 71,979.67

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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.