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Finding the Fourth Proportional to 32,578.84, 48,867.30 and 9,204.88

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Solution

The fourth proportional to 32,578.84, 48,867.30 and 9,204.88 is: 13,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,578.84 : 48,867.30 = 9,204.88 : x
  2. Step 2: Convert to fraction form
    32,578.84/48,867.30 = 9,204.88/x
  3. Step 3: Cross multiply
    32,578.84x = 48,867.30 × 9,204.88
  4. Step 4: Simplify right side
    32,578.84x = 449,817,632.42
  5. Step 5: Solve for x
    x = 449,817,632.42/32,578.84
  6. Step 6: Final answer
    x = 13,807.05

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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.