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Finding the Fourth Proportional to 97,732.30, 146,598.45 and 63,906.70

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Solution

The fourth proportional to 97,732.30, 146,598.45 and 63,906.70 is: 95,860.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,732.30 : 146,598.45 = 63,906.70 : x
  2. Step 2: Convert to fraction form
    97,732.30/146,598.45 = 63,906.70/x
  3. Step 3: Cross multiply
    97,732.30x = 146,598.45 × 63,906.70
  4. Step 4: Simplify right side
    97,732.30x = 9,368,623,164.62
  5. Step 5: Solve for x
    x = 9,368,623,164.62/97,732.30
  6. Step 6: Final answer
    x = 95,860.05

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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.