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Finding the Fourth Proportional to 70,894.24, 106,239.60 and 55,024.80

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Solution

The fourth proportional to 70,894.24, 106,239.60 and 55,024.80 is: 82,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,894.24 : 106,239.60 = 55,024.80 : x
  2. Step 2: Convert to fraction form
    70,894.24/106,239.60 = 55,024.80/x
  3. Step 3: Cross multiply
    70,894.24x = 106,239.60 × 55,024.80
  4. Step 4: Simplify right side
    70,894.24x = 5,845,812,742.08
  5. Step 5: Solve for x
    x = 5,845,812,742.08/70,894.24
  6. Step 6: Final answer
    x = 82,458.22

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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.