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Finding the Fourth Proportional to 31,289.97, 46,895.54 and 22,358.78

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Solution

The fourth proportional to 31,289.97, 46,895.54 and 22,358.78 is: 33,509.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,289.97 : 46,895.54 = 22,358.78 : x
  2. Step 2: Convert to fraction form
    31,289.97/46,895.54 = 22,358.78/x
  3. Step 3: Cross multiply
    31,289.97x = 46,895.54 × 22,358.78
  4. Step 4: Simplify right side
    31,289.97x = 1,048,526,715.57
  5. Step 5: Solve for x
    x = 1,048,526,715.57/31,289.97
  6. Step 6: Final answer
    x = 33,509.99

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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.