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Finding the Fourth Proportional to 33,209.60, 49,814.40 and 31,006.40

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Solution

The fourth proportional to 33,209.60, 49,814.40 and 31,006.40 is: 46,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,209.60 : 49,814.40 = 31,006.40 : x
  2. Step 2: Convert to fraction form
    33,209.60/49,814.40 = 31,006.40/x
  3. Step 3: Cross multiply
    33,209.60x = 49,814.40 × 31,006.40
  4. Step 4: Simplify right side
    33,209.60x = 1,544,565,212.16
  5. Step 5: Solve for x
    x = 1,544,565,212.16/33,209.60
  6. Step 6: Final answer
    x = 46,509.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.