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Finding the Fourth Proportional to 70,313.94, 105,512.49 and 25,972.02

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Solution

The fourth proportional to 70,313.94, 105,512.49 and 25,972.02 is: 38,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,313.94 : 105,512.49 = 25,972.02 : x
  2. Step 2: Convert to fraction form
    70,313.94/105,512.49 = 25,972.02/x
  3. Step 3: Cross multiply
    70,313.94x = 105,512.49 × 25,972.02
  4. Step 4: Simplify right side
    70,313.94x = 2,740,372,500.53
  5. Step 5: Solve for x
    x = 2,740,372,500.53/70,313.94
  6. Step 6: Final answer
    x = 38,973.39

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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.