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Finding the Fourth Proportional to 70,263.05, 96,965.32 and 38,431.94

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Solution

The fourth proportional to 70,263.05, 96,965.32 and 38,431.94 is: 53,037.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,263.05 : 96,965.32 = 38,431.94 : x
  2. Step 2: Convert to fraction form
    70,263.05/96,965.32 = 38,431.94/x
  3. Step 3: Cross multiply
    70,263.05x = 96,965.32 × 38,431.94
  4. Step 4: Simplify right side
    70,263.05x = 3,726,565,360.32
  5. Step 5: Solve for x
    x = 3,726,565,360.32/70,263.05
  6. Step 6: Final answer
    x = 53,037.34

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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.