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Finding the Fourth Proportional to 97,482.69, 146,187 and 38,286

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Solution

The fourth proportional to 97,482.69, 146,187 and 38,286 is: 57,414.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,482.69 : 146,187 = 38,286 : x
  2. Step 2: Convert to fraction form
    97,482.69/146,187 = 38,286/x
  3. Step 3: Cross multiply
    97,482.69x = 146,187 × 38,286
  4. Step 4: Simplify right side
    97,482.69x = 5,596,915,482
  5. Step 5: Solve for x
    x = 5,596,915,482/97,482.69
  6. Step 6: Final answer
    x = 57,414.45

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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.