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Finding the Fourth Proportional to 62,534.84, 86,297.43 and 33,854

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Solution

The fourth proportional to 62,534.84, 86,297.43 and 33,854 is: 46,718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,534.84 : 86,297.43 = 33,854 : x
  2. Step 2: Convert to fraction form
    62,534.84/86,297.43 = 33,854/x
  3. Step 3: Cross multiply
    62,534.84x = 86,297.43 × 33,854
  4. Step 4: Simplify right side
    62,534.84x = 2,921,513,195.22
  5. Step 5: Solve for x
    x = 2,921,513,195.22/62,534.84
  6. Step 6: Final answer
    x = 46,718.17

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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.