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Finding the Fourth Proportional to 97,406, 146,113.18 and 38,254.46

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Solution

The fourth proportional to 97,406, 146,113.18 and 38,254.46 is: 57,383.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,406 : 146,113.18 = 38,254.46 : x
  2. Step 2: Convert to fraction form
    97,406/146,113.18 = 38,254.46/x
  3. Step 3: Cross multiply
    97,406x = 146,113.18 × 38,254.46
  4. Step 4: Simplify right side
    97,406x = 5,589,480,799.78
  5. Step 5: Solve for x
    x = 5,589,480,799.78/97,406
  6. Step 6: Final answer
    x = 57,383.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.