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Finding the Fourth Proportional to 54,985.50, 75,880.17 and 33,764.58

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Solution

The fourth proportional to 54,985.50, 75,880.17 and 33,764.58 is: 46,595.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,985.50 : 75,880.17 = 33,764.58 : x
  2. Step 2: Convert to fraction form
    54,985.50/75,880.17 = 33,764.58/x
  3. Step 3: Cross multiply
    54,985.50x = 75,880.17 × 33,764.58
  4. Step 4: Simplify right side
    54,985.50x = 2,562,062,070.38
  5. Step 5: Solve for x
    x = 2,562,062,070.38/54,985.50
  6. Step 6: Final answer
    x = 46,595.23

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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.