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Finding the Fourth Proportional to 62,175.71, 85,802.21 and 33,881.40

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Solution

The fourth proportional to 62,175.71, 85,802.21 and 33,881.40 is: 46,756.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,175.71 : 85,802.21 = 33,881.40 : x
  2. Step 2: Convert to fraction form
    62,175.71/85,802.21 = 33,881.40/x
  3. Step 3: Cross multiply
    62,175.71x = 85,802.21 × 33,881.40
  4. Step 4: Simplify right side
    62,175.71x = 2,907,098,997.89
  5. Step 5: Solve for x
    x = 2,907,098,997.89/62,175.71
  6. Step 6: Final answer
    x = 46,756.18

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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.