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Finding the Fourth Proportional to 82,805.35, 114,271.82 and 45,079.87

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Solution

The fourth proportional to 82,805.35, 114,271.82 and 45,079.87 is: 62,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,805.35 : 114,271.82 = 45,079.87 : x
  2. Step 2: Convert to fraction form
    82,805.35/114,271.82 = 45,079.87/x
  3. Step 3: Cross multiply
    82,805.35x = 114,271.82 × 45,079.87
  4. Step 4: Simplify right side
    82,805.35x = 5,151,358,790.26
  5. Step 5: Solve for x
    x = 5,151,358,790.26/82,805.35
  6. Step 6: Final answer
    x = 62,210.46

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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.