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Finding the Fourth Proportional to 73,068.19, 100,834.10 and 39,534.19

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Solution

The fourth proportional to 73,068.19, 100,834.10 and 39,534.19 is: 54,557.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,068.19 : 100,834.10 = 39,534.19 : x
  2. Step 2: Convert to fraction form
    73,068.19/100,834.10 = 39,534.19/x
  3. Step 3: Cross multiply
    73,068.19x = 100,834.10 × 39,534.19
  4. Step 4: Simplify right side
    73,068.19x = 3,986,394,166.38
  5. Step 5: Solve for x
    x = 3,986,394,166.38/73,068.19
  6. Step 6: Final answer
    x = 54,557.18

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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.