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Finding the Fourth Proportional to 54,982.84, 75,894.60 and 39,113.32

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Solution

The fourth proportional to 54,982.84, 75,894.60 and 39,113.32 is: 53,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,982.84 : 75,894.60 = 39,113.32 : x
  2. Step 2: Convert to fraction form
    54,982.84/75,894.60 = 39,113.32/x
  3. Step 3: Cross multiply
    54,982.84x = 75,894.60 × 39,113.32
  4. Step 4: Simplify right side
    54,982.84x = 2,968,489,776.07
  5. Step 5: Solve for x
    x = 2,968,489,776.07/54,982.84
  6. Step 6: Final answer
    x = 53,989.39

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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.