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Finding the Fourth Proportional to 70,894.75, 97,834.14 and 39,063.42

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Solution

The fourth proportional to 70,894.75, 97,834.14 and 39,063.42 is: 53,907.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,894.75 : 97,834.14 = 39,063.42 : x
  2. Step 2: Convert to fraction form
    70,894.75/97,834.14 = 39,063.42/x
  3. Step 3: Cross multiply
    70,894.75x = 97,834.14 × 39,063.42
  4. Step 4: Simplify right side
    70,894.75x = 3,821,736,101.16
  5. Step 5: Solve for x
    x = 3,821,736,101.16/70,894.75
  6. Step 6: Final answer
    x = 53,907.18

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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.