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Finding the Fourth Proportional to 82,077.93, 113,269.28 and 46,267.93

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Solution

The fourth proportional to 82,077.93, 113,269.28 and 46,267.93 is: 63,850.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,077.93 : 113,269.28 = 46,267.93 : x
  2. Step 2: Convert to fraction form
    82,077.93/113,269.28 = 46,267.93/x
  3. Step 3: Cross multiply
    82,077.93x = 113,269.28 × 46,267.93
  4. Step 4: Simplify right side
    82,077.93x = 5,240,734,835.02
  5. Step 5: Solve for x
    x = 5,240,734,835.02/82,077.93
  6. Step 6: Final answer
    x = 63,850.72

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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.