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Finding the Fourth Proportional to 70,563, 97,376.12 and 38,297.68

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Solution

The fourth proportional to 70,563, 97,376.12 and 38,297.68 is: 52,850.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,563 : 97,376.12 = 38,297.68 : x
  2. Step 2: Convert to fraction form
    70,563/97,376.12 = 38,297.68/x
  3. Step 3: Cross multiply
    70,563x = 97,376.12 × 38,297.68
  4. Step 4: Simplify right side
    70,563x = 3,729,279,483.40
  5. Step 5: Solve for x
    x = 3,729,279,483.40/70,563
  6. Step 6: Final answer
    x = 52,850.35

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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.