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Finding the Fourth Proportional to 102,660.69, 153,967.80 and 32,501.73

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Solution

The fourth proportional to 102,660.69, 153,967.80 and 32,501.73 is: 48,745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,660.69 : 153,967.80 = 32,501.73 : x
  2. Step 2: Convert to fraction form
    102,660.69/153,967.80 = 32,501.73/x
  3. Step 3: Cross multiply
    102,660.69x = 153,967.80 × 32,501.73
  4. Step 4: Simplify right side
    102,660.69x = 5,004,219,864.29
  5. Step 5: Solve for x
    x = 5,004,219,864.29/102,660.69
  6. Step 6: Final answer
    x = 48,745.24

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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.