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Finding the Fourth Proportional to 70,903.67, 97,845.81 and 38,638.57

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Solution

The fourth proportional to 70,903.67, 97,845.81 and 38,638.57 is: 53,320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,903.67 : 97,845.81 = 38,638.57 : x
  2. Step 2: Convert to fraction form
    70,903.67/97,845.81 = 38,638.57/x
  3. Step 3: Cross multiply
    70,903.67x = 97,845.81 × 38,638.57
  4. Step 4: Simplify right side
    70,903.67x = 3,780,621,972.84
  5. Step 5: Solve for x
    x = 3,780,621,972.84/70,903.67
  6. Step 6: Final answer
    x = 53,320.54

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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.