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Finding the Fourth Proportional to 32,466.48, 48,571.56 and 25,014.48

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Solution

The fourth proportional to 32,466.48, 48,571.56 and 25,014.48 is: 37,422.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,466.48 : 48,571.56 = 25,014.48 : x
  2. Step 2: Convert to fraction form
    32,466.48/48,571.56 = 25,014.48/x
  3. Step 3: Cross multiply
    32,466.48x = 48,571.56 × 25,014.48
  4. Step 4: Simplify right side
    32,466.48x = 1,214,992,316.19
  5. Step 5: Solve for x
    x = 1,214,992,316.19/32,466.48
  6. Step 6: Final answer
    x = 37,422.98

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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.