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Finding the Fourth Proportional to 32,641, 48,962.46 and 8,017

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Solution

The fourth proportional to 32,641, 48,962.46 and 8,017 is: 12,025.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,641 : 48,962.46 = 8,017 : x
  2. Step 2: Convert to fraction form
    32,641/48,962.46 = 8,017/x
  3. Step 3: Cross multiply
    32,641x = 48,962.46 × 8,017
  4. Step 4: Simplify right side
    32,641x = 392,532,041.82
  5. Step 5: Solve for x
    x = 392,532,041.82/32,641
  6. Step 6: Final answer
    x = 12,025.74

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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.