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Finding the Fourth Proportional to 82,805.38, 114,271.44 and 45,079.63

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Solution

The fourth proportional to 82,805.38, 114,271.44 and 45,079.63 is: 62,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,805.38 : 114,271.44 = 45,079.63 : x
  2. Step 2: Convert to fraction form
    82,805.38/114,271.44 = 45,079.63/x
  3. Step 3: Cross multiply
    82,805.38x = 114,271.44 × 45,079.63
  4. Step 4: Simplify right side
    82,805.38x = 5,151,314,234.77
  5. Step 5: Solve for x
    x = 5,151,314,234.77/82,805.38
  6. Step 6: Final answer
    x = 62,209.90

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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.