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Finding the Fourth Proportional to 100,589.46, 150,895.13 and 37,402.17

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Solution

The fourth proportional to 100,589.46, 150,895.13 and 37,402.17 is: 56,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,589.46 : 150,895.13 = 37,402.17 : x
  2. Step 2: Convert to fraction form
    100,589.46/150,895.13 = 37,402.17/x
  3. Step 3: Cross multiply
    100,589.46x = 150,895.13 × 37,402.17
  4. Step 4: Simplify right side
    100,589.46x = 5,643,805,117.42
  5. Step 5: Solve for x
    x = 5,643,805,117.42/100,589.46
  6. Step 6: Final answer
    x = 56,107.32

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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.