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Finding the Fourth Proportional to 70,913.76, 106,435.92 and 35,878.08

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Solution

The fourth proportional to 70,913.76, 106,435.92 and 35,878.08 is: 53,850.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,913.76 : 106,435.92 = 35,878.08 : x
  2. Step 2: Convert to fraction form
    70,913.76/106,435.92 = 35,878.08/x
  3. Step 3: Cross multiply
    70,913.76x = 106,435.92 × 35,878.08
  4. Step 4: Simplify right side
    70,913.76x = 3,818,716,452.63
  5. Step 5: Solve for x
    x = 3,818,716,452.63/70,913.76
  6. Step 6: Final answer
    x = 53,850.15

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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.