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Finding the Fourth Proportional to 30,129.60, 41,551.74 and 20,565.12

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Solution

The fourth proportional to 30,129.60, 41,551.74 and 20,565.12 is: 28,361.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,129.60 : 41,551.74 = 20,565.12 : x
  2. Step 2: Convert to fraction form
    30,129.60/41,551.74 = 20,565.12/x
  3. Step 3: Cross multiply
    30,129.60x = 41,551.74 × 20,565.12
  4. Step 4: Simplify right side
    30,129.60x = 854,516,519.31
  5. Step 5: Solve for x
    x = 854,516,519.31/30,129.60
  6. Step 6: Final answer
    x = 28,361.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.