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Finding the Fourth Proportional to 32,207.12, 48,309 and 8,833.60

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Solution

The fourth proportional to 32,207.12, 48,309 and 8,833.60 is: 13,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,207.12 : 48,309 = 8,833.60 : x
  2. Step 2: Convert to fraction form
    32,207.12/48,309 = 8,833.60/x
  3. Step 3: Cross multiply
    32,207.12x = 48,309 × 8,833.60
  4. Step 4: Simplify right side
    32,207.12x = 426,742,382.40
  5. Step 5: Solve for x
    x = 426,742,382.40/32,207.12
  6. Step 6: Final answer
    x = 13,249.94

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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.