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Finding the Fourth Proportional to 46,378.70, 69,600.45 and 20,102.30

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Solution

The fourth proportional to 46,378.70, 69,600.45 and 20,102.30 is: 30,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,378.70 : 69,600.45 = 20,102.30 : x
  2. Step 2: Convert to fraction form
    46,378.70/69,600.45 = 20,102.30/x
  3. Step 3: Cross multiply
    46,378.70x = 69,600.45 × 20,102.30
  4. Step 4: Simplify right side
    46,378.70x = 1,399,129,126.04
  5. Step 5: Solve for x
    x = 1,399,129,126.04/46,378.70
  6. Step 6: Final answer
    x = 30,167.49

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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.