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Finding the Fourth Proportional to 42,069.62, 63,096.96 and 15,410

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Solution

The fourth proportional to 42,069.62, 63,096.96 and 15,410 is: 23,112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,069.62 : 63,096.96 = 15,410 : x
  2. Step 2: Convert to fraction form
    42,069.62/63,096.96 = 15,410/x
  3. Step 3: Cross multiply
    42,069.62x = 63,096.96 × 15,410
  4. Step 4: Simplify right side
    42,069.62x = 972,324,153.60
  5. Step 5: Solve for x
    x = 972,324,153.60/42,069.62
  6. Step 6: Final answer
    x = 23,112.26

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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.