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Finding the Fourth Proportional to 70,607.44, 97,438.94 and 38,777

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Solution

The fourth proportional to 70,607.44, 97,438.94 and 38,777 is: 53,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,607.44 : 97,438.94 = 38,777 : x
  2. Step 2: Convert to fraction form
    70,607.44/97,438.94 = 38,777/x
  3. Step 3: Cross multiply
    70,607.44x = 97,438.94 × 38,777
  4. Step 4: Simplify right side
    70,607.44x = 3,778,389,776.38
  5. Step 5: Solve for x
    x = 3,778,389,776.38/70,607.44
  6. Step 6: Final answer
    x = 53,512.63

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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.