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Finding the Fourth Proportional to 69,792.78, 104,646.93 and 31,317.22

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Solution

The fourth proportional to 69,792.78, 104,646.93 and 31,317.22 is: 46,956.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,792.78 : 104,646.93 = 31,317.22 : x
  2. Step 2: Convert to fraction form
    69,792.78/104,646.93 = 31,317.22/x
  3. Step 3: Cross multiply
    69,792.78x = 104,646.93 × 31,317.22
  4. Step 4: Simplify right side
    69,792.78x = 3,277,250,929.13
  5. Step 5: Solve for x
    x = 3,277,250,929.13/69,792.78
  6. Step 6: Final answer
    x = 46,956.88

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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.