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Finding the Fourth Proportional to 70,100.34, 96,738.62 and 38,269.77

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Solution

The fourth proportional to 70,100.34, 96,738.62 and 38,269.77 is: 52,812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,100.34 : 96,738.62 = 38,269.77 : x
  2. Step 2: Convert to fraction form
    70,100.34/96,738.62 = 38,269.77/x
  3. Step 3: Cross multiply
    70,100.34x = 96,738.62 × 38,269.77
  4. Step 4: Simplify right side
    70,100.34x = 3,702,164,737.52
  5. Step 5: Solve for x
    x = 3,702,164,737.52/70,100.34
  6. Step 6: Final answer
    x = 52,812.36

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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.