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Finding the Fourth Proportional to 33,005.64, 45,565.29 and 25,435.38

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Solution

The fourth proportional to 33,005.64, 45,565.29 and 25,435.38 is: 35,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,005.64 : 45,565.29 = 25,435.38 : x
  2. Step 2: Convert to fraction form
    33,005.64/45,565.29 = 25,435.38/x
  3. Step 3: Cross multiply
    33,005.64x = 45,565.29 × 25,435.38
  4. Step 4: Simplify right side
    33,005.64x = 1,158,970,465.96
  5. Step 5: Solve for x
    x = 1,158,970,465.96/33,005.64
  6. Step 6: Final answer
    x = 35,114.32

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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.