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Finding the Fourth Proportional to 102,572.70, 153,927.78 and 36,013.05

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Solution

The fourth proportional to 102,572.70, 153,927.78 and 36,013.05 is: 54,043.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,572.70 : 153,927.78 = 36,013.05 : x
  2. Step 2: Convert to fraction form
    102,572.70/153,927.78 = 36,013.05/x
  3. Step 3: Cross multiply
    102,572.70x = 153,927.78 × 36,013.05
  4. Step 4: Simplify right side
    102,572.70x = 5,543,408,837.53
  5. Step 5: Solve for x
    x = 5,543,408,837.53/102,572.70
  6. Step 6: Final answer
    x = 54,043.71

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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.