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Finding the Fourth Proportional to 136,692.95, 205,041.24 and 47,949.03

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Solution

The fourth proportional to 136,692.95, 205,041.24 and 47,949.03 is: 71,924.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,692.95 : 205,041.24 = 47,949.03 : x
  2. Step 2: Convert to fraction form
    136,692.95/205,041.24 = 47,949.03/x
  3. Step 3: Cross multiply
    136,692.95x = 205,041.24 × 47,949.03
  4. Step 4: Simplify right side
    136,692.95x = 9,831,528,568.00
  5. Step 5: Solve for x
    x = 9,831,528,568.00/136,692.95
  6. Step 6: Final answer
    x = 71,924.18

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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.