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Finding the Fourth Proportional to 50,075.25, 75,117.89 and 18,493.60

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Solution

The fourth proportional to 50,075.25, 75,117.89 and 18,493.60 is: 27,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,075.25 : 75,117.89 = 18,493.60 : x
  2. Step 2: Convert to fraction form
    50,075.25/75,117.89 = 18,493.60/x
  3. Step 3: Cross multiply
    50,075.25x = 75,117.89 × 18,493.60
  4. Step 4: Simplify right side
    50,075.25x = 1,389,200,210.50
  5. Step 5: Solve for x
    x = 1,389,200,210.50/50,075.25
  6. Step 6: Final answer
    x = 27,742.25

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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.