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Finding the Fourth Proportional to 102,066.96, 153,033.96 and 35,502

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Solution

The fourth proportional to 102,066.96, 153,033.96 and 35,502 is: 53,229.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,066.96 : 153,033.96 = 35,502 : x
  2. Step 2: Convert to fraction form
    102,066.96/153,033.96 = 35,502/x
  3. Step 3: Cross multiply
    102,066.96x = 153,033.96 × 35,502
  4. Step 4: Simplify right side
    102,066.96x = 5,433,011,647.92
  5. Step 5: Solve for x
    x = 5,433,011,647.92/102,066.96
  6. Step 6: Final answer
    x = 53,229.88

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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.