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Finding the Fourth Proportional to 70,967.09, 97,930.13 and 40,731.14

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Solution

The fourth proportional to 70,967.09, 97,930.13 and 40,731.14 is: 56,206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,967.09 : 97,930.13 = 40,731.14 : x
  2. Step 2: Convert to fraction form
    70,967.09/97,930.13 = 40,731.14/x
  3. Step 3: Cross multiply
    70,967.09x = 97,930.13 × 40,731.14
  4. Step 4: Simplify right side
    70,967.09x = 3,988,805,141.94
  5. Step 5: Solve for x
    x = 3,988,805,141.94/70,967.09
  6. Step 6: Final answer
    x = 56,206.41

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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.