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Finding the Fourth Proportional to 67,415.40, 101,206.30 and 42,455.40

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Solution

The fourth proportional to 67,415.40, 101,206.30 and 42,455.40 is: 63,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,415.40 : 101,206.30 = 42,455.40 : x
  2. Step 2: Convert to fraction form
    67,415.40/101,206.30 = 42,455.40/x
  3. Step 3: Cross multiply
    67,415.40x = 101,206.30 × 42,455.40
  4. Step 4: Simplify right side
    67,415.40x = 4,296,753,949.02
  5. Step 5: Solve for x
    x = 4,296,753,949.02/67,415.40
  6. Step 6: Final answer
    x = 63,735.50

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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.