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Finding the Fourth Proportional to 92,028.75, 138,075.53 and 45,314.43

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Solution

The fourth proportional to 92,028.75, 138,075.53 and 45,314.43 is: 67,987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,028.75 : 138,075.53 = 45,314.43 : x
  2. Step 2: Convert to fraction form
    92,028.75/138,075.53 = 45,314.43/x
  3. Step 3: Cross multiply
    92,028.75x = 138,075.53 × 45,314.43
  4. Step 4: Simplify right side
    92,028.75x = 6,256,813,712.33
  5. Step 5: Solve for x
    x = 6,256,813,712.33/92,028.75
  6. Step 6: Final answer
    x = 67,987.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.