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Finding the Fourth Proportional to 82,103.70, 113,302.92 and 46,293.50

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Solution

The fourth proportional to 82,103.70, 113,302.92 and 46,293.50 is: 63,884.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,103.70 : 113,302.92 = 46,293.50 : x
  2. Step 2: Convert to fraction form
    82,103.70/113,302.92 = 46,293.50/x
  3. Step 3: Cross multiply
    82,103.70x = 113,302.92 × 46,293.50
  4. Step 4: Simplify right side
    82,103.70x = 5,245,189,010.28
  5. Step 5: Solve for x
    x = 5,245,189,010.28/82,103.70
  6. Step 6: Final answer
    x = 63,884.93

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1.5x scale

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.