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Finding the Fourth Proportional to 32,443.99, 48,674.63 and 10,257.78

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Solution

The fourth proportional to 32,443.99, 48,674.63 and 10,257.78 is: 15,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,443.99 : 48,674.63 = 10,257.78 : x
  2. Step 2: Convert to fraction form
    32,443.99/48,674.63 = 10,257.78/x
  3. Step 3: Cross multiply
    32,443.99x = 48,674.63 × 10,257.78
  4. Step 4: Simplify right side
    32,443.99x = 499,293,671.77
  5. Step 5: Solve for x
    x = 499,293,671.77/32,443.99
  6. Step 6: Final answer
    x = 15,389.41

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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.