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Finding the Fourth Proportional to 32,653.01, 48,979.52 and 9,276.41

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Solution

The fourth proportional to 32,653.01, 48,979.52 and 9,276.41 is: 13,914.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,653.01 : 48,979.52 = 9,276.41 : x
  2. Step 2: Convert to fraction form
    32,653.01/48,979.52 = 9,276.41/x
  3. Step 3: Cross multiply
    32,653.01x = 48,979.52 × 9,276.41
  4. Step 4: Simplify right side
    32,653.01x = 454,354,109.12
  5. Step 5: Solve for x
    x = 454,354,109.12/32,653.01
  6. Step 6: Final answer
    x = 13,914.62

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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.