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Finding the Fourth Proportional to 70,371.98, 97,113.36 and 38,540.87

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Solution

The fourth proportional to 70,371.98, 97,113.36 and 38,540.87 is: 53,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,371.98 : 97,113.36 = 38,540.87 : x
  2. Step 2: Convert to fraction form
    70,371.98/97,113.36 = 38,540.87/x
  3. Step 3: Cross multiply
    70,371.98x = 97,113.36 × 38,540.87
  4. Step 4: Simplify right side
    70,371.98x = 3,742,832,897.46
  5. Step 5: Solve for x
    x = 3,742,832,897.46/70,371.98
  6. Step 6: Final answer
    x = 53,186.41

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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.