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Finding the Fourth Proportional to 101,672.70, 152,509.05 and 31,559.10

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Solution

The fourth proportional to 101,672.70, 152,509.05 and 31,559.10 is: 47,338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,672.70 : 152,509.05 = 31,559.10 : x
  2. Step 2: Convert to fraction form
    101,672.70/152,509.05 = 31,559.10/x
  3. Step 3: Cross multiply
    101,672.70x = 152,509.05 × 31,559.10
  4. Step 4: Simplify right side
    101,672.70x = 4,813,048,359.86
  5. Step 5: Solve for x
    x = 4,813,048,359.86/101,672.70
  6. Step 6: Final answer
    x = 47,338.65

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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.