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Finding the Fourth Proportional to 32,319, 48,478.42 and 8,945.36

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Solution

The fourth proportional to 32,319, 48,478.42 and 8,945.36 is: 13,418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,319 : 48,478.42 = 8,945.36 : x
  2. Step 2: Convert to fraction form
    32,319/48,478.42 = 8,945.36/x
  3. Step 3: Cross multiply
    32,319x = 48,478.42 × 8,945.36
  4. Step 4: Simplify right side
    32,319x = 433,656,919.13
  5. Step 5: Solve for x
    x = 433,656,919.13/32,319
  6. Step 6: Final answer
    x = 13,418.02

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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.