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Finding the Fourth Proportional to 70,972.38, 97,941.83 and 39,143.30

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Solution

The fourth proportional to 70,972.38, 97,941.83 and 39,143.30 is: 54,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,972.38 : 97,941.83 = 39,143.30 : x
  2. Step 2: Convert to fraction form
    70,972.38/97,941.83 = 39,143.30/x
  3. Step 3: Cross multiply
    70,972.38x = 97,941.83 × 39,143.30
  4. Step 4: Simplify right side
    70,972.38x = 3,833,765,748.81
  5. Step 5: Solve for x
    x = 3,833,765,748.81/70,972.38
  6. Step 6: Final answer
    x = 54,017.71

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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.