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Finding the Fourth Proportional to 32,655.53, 48,982.34 and 19,419.32

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Solution

The fourth proportional to 32,655.53, 48,982.34 and 19,419.32 is: 29,128.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,655.53 : 48,982.34 = 19,419.32 : x
  2. Step 2: Convert to fraction form
    32,655.53/48,982.34 = 19,419.32/x
  3. Step 3: Cross multiply
    32,655.53x = 48,982.34 × 19,419.32
  4. Step 4: Simplify right side
    32,655.53x = 951,203,538.45
  5. Step 5: Solve for x
    x = 951,203,538.45/32,655.53
  6. Step 6: Final answer
    x = 29,128.41

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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.