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Finding the Fourth Proportional to 103,089.99, 154,640.85 and 32,019.37

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Solution

The fourth proportional to 103,089.99, 154,640.85 and 32,019.37 is: 48,030.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,089.99 : 154,640.85 = 32,019.37 : x
  2. Step 2: Convert to fraction form
    103,089.99/154,640.85 = 32,019.37/x
  3. Step 3: Cross multiply
    103,089.99x = 154,640.85 × 32,019.37
  4. Step 4: Simplify right side
    103,089.99x = 4,951,502,593.26
  5. Step 5: Solve for x
    x = 4,951,502,593.26/103,089.99
  6. Step 6: Final answer
    x = 48,030.88

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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.