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Finding the Fourth Proportional to 97,961.70, 147,008.09 and 35,632.20

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Solution

The fourth proportional to 97,961.70, 147,008.09 and 35,632.20 is: 53,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,961.70 : 147,008.09 = 35,632.20 : x
  2. Step 2: Convert to fraction form
    97,961.70/147,008.09 = 35,632.20/x
  3. Step 3: Cross multiply
    97,961.70x = 147,008.09 × 35,632.20
  4. Step 4: Simplify right side
    97,961.70x = 5,238,221,486.34
  5. Step 5: Solve for x
    x = 5,238,221,486.34/97,961.70
  6. Step 6: Final answer
    x = 53,472.14

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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.