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Finding the Fourth Proportional to 70,903.49, 97,846.43 and 38,638.08

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Solution

The fourth proportional to 70,903.49, 97,846.43 and 38,638.08 is: 53,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,903.49 : 97,846.43 = 38,638.08 : x
  2. Step 2: Convert to fraction form
    70,903.49/97,846.43 = 38,638.08/x
  3. Step 3: Cross multiply
    70,903.49x = 97,846.43 × 38,638.08
  4. Step 4: Simplify right side
    70,903.49x = 3,780,597,996.86
  5. Step 5: Solve for x
    x = 3,780,597,996.86/70,903.49
  6. Step 6: Final answer
    x = 53,320.34

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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.