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Finding the Fourth Proportional to 102,575.57, 153,932.09 and 36,015.92

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Solution

The fourth proportional to 102,575.57, 153,932.09 and 36,015.92 is: 54,048.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,575.57 : 153,932.09 = 36,015.92 : x
  2. Step 2: Convert to fraction form
    102,575.57/153,932.09 = 36,015.92/x
  3. Step 3: Cross multiply
    102,575.57x = 153,932.09 × 36,015.92
  4. Step 4: Simplify right side
    102,575.57x = 5,544,005,838.87
  5. Step 5: Solve for x
    x = 5,544,005,838.87/102,575.57
  6. Step 6: Final answer
    x = 54,048.01

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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.