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Finding the Fourth Proportional to 70,634.40, 105,897.60 and 35,599.20

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Solution

The fourth proportional to 70,634.40, 105,897.60 and 35,599.20 is: 53,371.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,634.40 : 105,897.60 = 35,599.20 : x
  2. Step 2: Convert to fraction form
    70,634.40/105,897.60 = 35,599.20/x
  3. Step 3: Cross multiply
    70,634.40x = 105,897.60 × 35,599.20
  4. Step 4: Simplify right side
    70,634.40x = 3,769,869,841.92
  5. Step 5: Solve for x
    x = 3,769,869,841.92/70,634.40
  6. Step 6: Final answer
    x = 53,371.58

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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.