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Finding the Fourth Proportional to 32,988, 45,585.56 and 25,015.44

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Solution

The fourth proportional to 32,988, 45,585.56 and 25,015.44 is: 34,568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,988 : 45,585.56 = 25,015.44 : x
  2. Step 2: Convert to fraction form
    32,988/45,585.56 = 25,015.44/x
  3. Step 3: Cross multiply
    32,988x = 45,585.56 × 25,015.44
  4. Step 4: Simplify right side
    32,988x = 1,140,342,841.05
  5. Step 5: Solve for x
    x = 1,140,342,841.05/32,988
  6. Step 6: Final answer
    x = 34,568.41

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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.