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Finding the Fourth Proportional to 70,782.08, 106,238.73 and 35,746.34

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Solution

The fourth proportional to 70,782.08, 106,238.73 and 35,746.34 is: 53,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,782.08 : 106,238.73 = 35,746.34 : x
  2. Step 2: Convert to fraction form
    70,782.08/106,238.73 = 35,746.34/x
  3. Step 3: Cross multiply
    70,782.08x = 106,238.73 × 35,746.34
  4. Step 4: Simplify right side
    70,782.08x = 3,797,645,763.75
  5. Step 5: Solve for x
    x = 3,797,645,763.75/70,782.08
  6. Step 6: Final answer
    x = 53,652.64

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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.