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Finding the Fourth Proportional to 32,024, 48,053.28 and 15,608

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Solution

The fourth proportional to 32,024, 48,053.28 and 15,608 is: 23,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,024 : 48,053.28 = 15,608 : x
  2. Step 2: Convert to fraction form
    32,024/48,053.28 = 15,608/x
  3. Step 3: Cross multiply
    32,024x = 48,053.28 × 15,608
  4. Step 4: Simplify right side
    32,024x = 750,015,594.24
  5. Step 5: Solve for x
    x = 750,015,594.24/32,024
  6. Step 6: Final answer
    x = 23,420.42

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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.