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Finding the Fourth Proportional to 46,829.22, 64,675.71 and 31,792.38

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Solution

The fourth proportional to 46,829.22, 64,675.71 and 31,792.38 is: 43,908.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,829.22 : 64,675.71 = 31,792.38 : x
  2. Step 2: Convert to fraction form
    46,829.22/64,675.71 = 31,792.38/x
  3. Step 3: Cross multiply
    46,829.22x = 64,675.71 × 31,792.38
  4. Step 4: Simplify right side
    46,829.22x = 2,056,194,749.09
  5. Step 5: Solve for x
    x = 2,056,194,749.09/46,829.22
  6. Step 6: Final answer
    x = 43,908.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.