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Finding the Fourth Proportional to 70,745.40, 106,064.10 and 35,710.20

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Solution

The fourth proportional to 70,745.40, 106,064.10 and 35,710.20 is: 53,538.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,745.40 : 106,064.10 = 35,710.20 : x
  2. Step 2: Convert to fraction form
    70,745.40/106,064.10 = 35,710.20/x
  3. Step 3: Cross multiply
    70,745.40x = 106,064.10 × 35,710.20
  4. Step 4: Simplify right side
    70,745.40x = 3,787,570,223.82
  5. Step 5: Solve for x
    x = 3,787,570,223.82/70,745.40
  6. Step 6: Final answer
    x = 53,538.04

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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.