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Finding the Fourth Proportional to 82,033.75, 113,206.65 and 44,308

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Solution

The fourth proportional to 82,033.75, 113,206.65 and 44,308 is: 61,145.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,033.75 : 113,206.65 = 44,308 : x
  2. Step 2: Convert to fraction form
    82,033.75/113,206.65 = 44,308/x
  3. Step 3: Cross multiply
    82,033.75x = 113,206.65 × 44,308
  4. Step 4: Simplify right side
    82,033.75x = 5,015,960,248.20
  5. Step 5: Solve for x
    x = 5,015,960,248.20/82,033.75
  6. Step 6: Final answer
    x = 61,145.08

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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.