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Finding the Fourth Proportional to 32,313, 48,464.04 and 8,939.52

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Solution

The fourth proportional to 32,313, 48,464.04 and 8,939.52 is: 13,407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,313 : 48,464.04 = 8,939.52 : x
  2. Step 2: Convert to fraction form
    32,313/48,464.04 = 8,939.52/x
  3. Step 3: Cross multiply
    32,313x = 48,464.04 × 8,939.52
  4. Step 4: Simplify right side
    32,313x = 433,245,254.86
  5. Step 5: Solve for x
    x = 433,245,254.86/32,313
  6. Step 6: Final answer
    x = 13,407.77

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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.