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Finding the Fourth Proportional to 70,570.95, 105,822.41 and 40,997.25

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Solution

The fourth proportional to 70,570.95, 105,822.41 and 40,997.25 is: 61,476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,570.95 : 105,822.41 = 40,997.25 : x
  2. Step 2: Convert to fraction form
    70,570.95/105,822.41 = 40,997.25/x
  3. Step 3: Cross multiply
    70,570.95x = 105,822.41 × 40,997.25
  4. Step 4: Simplify right side
    70,570.95x = 4,338,427,593.39
  5. Step 5: Solve for x
    x = 4,338,427,593.39/70,570.95
  6. Step 6: Final answer
    x = 61,476.11

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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.