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Finding the Fourth Proportional to 100,537.63, 150,806.31 and 25,657.77

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Solution

The fourth proportional to 100,537.63, 150,806.31 and 25,657.77 is: 38,486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,537.63 : 150,806.31 = 25,657.77 : x
  2. Step 2: Convert to fraction form
    100,537.63/150,806.31 = 25,657.77/x
  3. Step 3: Cross multiply
    100,537.63x = 150,806.31 × 25,657.77
  4. Step 4: Simplify right side
    100,537.63x = 3,869,354,246.20
  5. Step 5: Solve for x
    x = 3,869,354,246.20/100,537.63
  6. Step 6: Final answer
    x = 38,486.63

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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.