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Finding the Fourth Proportional to 32,962.68, 49,443.84 and 9,589.68

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Solution

The fourth proportional to 32,962.68, 49,443.84 and 9,589.68 is: 14,384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,962.68 : 49,443.84 = 9,589.68 : x
  2. Step 2: Convert to fraction form
    32,962.68/49,443.84 = 9,589.68/x
  3. Step 3: Cross multiply
    32,962.68x = 49,443.84 × 9,589.68
  4. Step 4: Simplify right side
    32,962.68x = 474,150,603.57
  5. Step 5: Solve for x
    x = 474,150,603.57/32,962.68
  6. Step 6: Final answer
    x = 14,384.47

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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.