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Finding the Fourth Proportional to 32,047.62, 48,048.75 and 12,309.54

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Solution

The fourth proportional to 32,047.62, 48,048.75 and 12,309.54 is: 18,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,047.62 : 48,048.75 = 12,309.54 : x
  2. Step 2: Convert to fraction form
    32,047.62/48,048.75 = 12,309.54/x
  3. Step 3: Cross multiply
    32,047.62x = 48,048.75 × 12,309.54
  4. Step 4: Simplify right side
    32,047.62x = 591,458,010.08
  5. Step 5: Solve for x
    x = 591,458,010.08/32,047.62
  6. Step 6: Final answer
    x = 18,455.60

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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.