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Finding the Fourth Proportional to 32,424, 48,608.16 and 11,361.12

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Solution

The fourth proportional to 32,424, 48,608.16 and 11,361.12 is: 17,031.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,424 : 48,608.16 = 11,361.12 : x
  2. Step 2: Convert to fraction form
    32,424/48,608.16 = 11,361.12/x
  3. Step 3: Cross multiply
    32,424x = 48,608.16 × 11,361.12
  4. Step 4: Simplify right side
    32,424x = 552,243,138.74
  5. Step 5: Solve for x
    x = 552,243,138.74/32,424
  6. Step 6: Final answer
    x = 17,031.93

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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.