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Finding the Fourth Proportional to 100,632.32, 150,948.48 and 37,450.80

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Solution

The fourth proportional to 100,632.32, 150,948.48 and 37,450.80 is: 56,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,632.32 : 150,948.48 = 37,450.80 : x
  2. Step 2: Convert to fraction form
    100,632.32/150,948.48 = 37,450.80/x
  3. Step 3: Cross multiply
    100,632.32x = 150,948.48 × 37,450.80
  4. Step 4: Simplify right side
    100,632.32x = 5,653,141,147.53
  5. Step 5: Solve for x
    x = 5,653,141,147.53/100,632.32
  6. Step 6: Final answer
    x = 56,176.20

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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.