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Finding the Fourth Proportional to 70,878.57, 106,280.93 and 33,428.58

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Solution

The fourth proportional to 70,878.57, 106,280.93 and 33,428.58 is: 50,125.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,878.57 : 106,280.93 = 33,428.58 : x
  2. Step 2: Convert to fraction form
    70,878.57/106,280.93 = 33,428.58/x
  3. Step 3: Cross multiply
    70,878.57x = 106,280.93 × 33,428.58
  4. Step 4: Simplify right side
    70,878.57x = 3,552,820,654.55
  5. Step 5: Solve for x
    x = 3,552,820,654.55/70,878.57
  6. Step 6: Final answer
    x = 50,125.46

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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.