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Finding the Fourth Proportional to 70,299.59, 97,013.43 and 38,468.49

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Solution

The fourth proportional to 70,299.59, 97,013.43 and 38,468.49 is: 53,086.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,299.59 : 97,013.43 = 38,468.49 : x
  2. Step 2: Convert to fraction form
    70,299.59/97,013.43 = 38,468.49/x
  3. Step 3: Cross multiply
    70,299.59x = 97,013.43 × 38,468.49
  4. Step 4: Simplify right side
    70,299.59x = 3,731,960,161.82
  5. Step 5: Solve for x
    x = 3,731,960,161.82/70,299.59
  6. Step 6: Final answer
    x = 53,086.51

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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.