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Finding the Fourth Proportional to 32,950.20, 49,425.30 and 31,006.20

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Solution

The fourth proportional to 32,950.20, 49,425.30 and 31,006.20 is: 46,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950.20 : 49,425.30 = 31,006.20 : x
  2. Step 2: Convert to fraction form
    32,950.20/49,425.30 = 31,006.20/x
  3. Step 3: Cross multiply
    32,950.20x = 49,425.30 × 31,006.20
  4. Step 4: Simplify right side
    32,950.20x = 1,532,490,736.86
  5. Step 5: Solve for x
    x = 1,532,490,736.86/32,950.20
  6. Step 6: Final answer
    x = 46,509.30

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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.