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Finding the Fourth Proportional to 102,800.74, 154,168.08 and 32,663.66

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Solution

The fourth proportional to 102,800.74, 154,168.08 and 32,663.66 is: 48,985.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,800.74 : 154,168.08 = 32,663.66 : x
  2. Step 2: Convert to fraction form
    102,800.74/154,168.08 = 32,663.66/x
  3. Step 3: Cross multiply
    102,800.74x = 154,168.08 × 32,663.66
  4. Step 4: Simplify right side
    102,800.74x = 5,035,693,747.97
  5. Step 5: Solve for x
    x = 5,035,693,747.97/102,800.74
  6. Step 6: Final answer
    x = 48,985.00

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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.