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Finding the Fourth Proportional to 70,257.57, 96,953.38 and 38,425.78

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Solution

The fourth proportional to 70,257.57, 96,953.38 and 38,425.78 is: 53,026.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,257.57 : 96,953.38 = 38,425.78 : x
  2. Step 2: Convert to fraction form
    70,257.57/96,953.38 = 38,425.78/x
  3. Step 3: Cross multiply
    70,257.57x = 96,953.38 × 38,425.78
  4. Step 4: Simplify right side
    70,257.57x = 3,725,509,250.14
  5. Step 5: Solve for x
    x = 3,725,509,250.14/70,257.57
  6. Step 6: Final answer
    x = 53,026.45

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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.