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Finding the Fourth Proportional to 70,070.48, 96,696 and 38,238.56

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Solution

The fourth proportional to 70,070.48, 96,696 and 38,238.56 is: 52,768.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,070.48 : 96,696 = 38,238.56 : x
  2. Step 2: Convert to fraction form
    70,070.48/96,696 = 38,238.56/x
  3. Step 3: Cross multiply
    70,070.48x = 96,696 × 38,238.56
  4. Step 4: Simplify right side
    70,070.48x = 3,697,515,797.76
  5. Step 5: Solve for x
    x = 3,697,515,797.76/70,070.48
  6. Step 6: Final answer
    x = 52,768.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.