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Finding the Fourth Proportional to 103,753.88, 155,642.16 and 37,184.84

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Solution

The fourth proportional to 103,753.88, 155,642.16 and 37,184.84 is: 55,781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,753.88 : 155,642.16 = 37,184.84 : x
  2. Step 2: Convert to fraction form
    103,753.88/155,642.16 = 37,184.84/x
  3. Step 3: Cross multiply
    103,753.88x = 155,642.16 × 37,184.84
  4. Step 4: Simplify right side
    103,753.88x = 5,787,528,816.85
  5. Step 5: Solve for x
    x = 5,787,528,816.85/103,753.88
  6. Step 6: Final answer
    x = 55,781.32

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1.5x scale

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.