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Finding the Fourth Proportional to 32,653.92, 48,984.12 and 10,461.72

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Solution

The fourth proportional to 32,653.92, 48,984.12 and 10,461.72 is: 15,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,653.92 : 48,984.12 = 10,461.72 : x
  2. Step 2: Convert to fraction form
    32,653.92/48,984.12 = 10,461.72/x
  3. Step 3: Cross multiply
    32,653.92x = 48,984.12 × 10,461.72
  4. Step 4: Simplify right side
    32,653.92x = 512,458,147.89
  5. Step 5: Solve for x
    x = 512,458,147.89/32,653.92
  6. Step 6: Final answer
    x = 15,693.62

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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.