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Finding the Fourth Proportional to 83,528.22, 125,323.11 and 39,169.38

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Solution

The fourth proportional to 83,528.22, 125,323.11 and 39,169.38 is: 58,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,528.22 : 125,323.11 = 39,169.38 : x
  2. Step 2: Convert to fraction form
    83,528.22/125,323.11 = 39,169.38/x
  3. Step 3: Cross multiply
    83,528.22x = 125,323.11 × 39,169.38
  4. Step 4: Simplify right side
    83,528.22x = 4,908,828,518.37
  5. Step 5: Solve for x
    x = 4,908,828,518.37/83,528.22
  6. Step 6: Final answer
    x = 58,768.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.