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Finding the Fourth Proportional to 123,601, 185,407.26 and 36,049

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Solution

The fourth proportional to 123,601, 185,407.26 and 36,049 is: 54,075.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,601 : 185,407.26 = 36,049 : x
  2. Step 2: Convert to fraction form
    123,601/185,407.26 = 36,049/x
  3. Step 3: Cross multiply
    123,601x = 185,407.26 × 36,049
  4. Step 4: Simplify right side
    123,601x = 6,683,746,315.74
  5. Step 5: Solve for x
    x = 6,683,746,315.74/123,601
  6. Step 6: Final answer
    x = 54,075.18

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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.