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Finding the Fourth Proportional to 70,970.94, 106,481.52 and 31,524.48

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Solution

The fourth proportional to 70,970.94, 106,481.52 and 31,524.48 is: 47,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,970.94 : 106,481.52 = 31,524.48 : x
  2. Step 2: Convert to fraction form
    70,970.94/106,481.52 = 31,524.48/x
  3. Step 3: Cross multiply
    70,970.94x = 106,481.52 × 31,524.48
  4. Step 4: Simplify right side
    70,970.94x = 3,356,774,547.61
  5. Step 5: Solve for x
    x = 3,356,774,547.61/70,970.94
  6. Step 6: Final answer
    x = 47,297.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.