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Finding the Fourth Proportional to 31,212.65, 46,792.65 and 14,563.91

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Solution

The fourth proportional to 31,212.65, 46,792.65 and 14,563.91 is: 21,833.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,212.65 : 46,792.65 = 14,563.91 : x
  2. Step 2: Convert to fraction form
    31,212.65/46,792.65 = 14,563.91/x
  3. Step 3: Cross multiply
    31,212.65x = 46,792.65 × 14,563.91
  4. Step 4: Simplify right side
    31,212.65x = 681,483,943.26
  5. Step 5: Solve for x
    x = 681,483,943.26/31,212.65
  6. Step 6: Final answer
    x = 21,833.58

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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.