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Finding the Fourth Proportional to 70,295.32, 97,007.84 and 38,029.84

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Solution

The fourth proportional to 70,295.32, 97,007.84 and 38,029.84 is: 52,481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,295.32 : 97,007.84 = 38,029.84 : x
  2. Step 2: Convert to fraction form
    70,295.32/97,007.84 = 38,029.84/x
  3. Step 3: Cross multiply
    70,295.32x = 97,007.84 × 38,029.84
  4. Step 4: Simplify right side
    70,295.32x = 3,689,192,633.95
  5. Step 5: Solve for x
    x = 3,689,192,633.95/70,295.32
  6. Step 6: Final answer
    x = 52,481.34

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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.