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Finding the Fourth Proportional to 32,582, 44,963.21 and 18,434.54

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Solution

The fourth proportional to 32,582, 44,963.21 and 18,434.54 is: 25,439.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,582 : 44,963.21 = 18,434.54 : x
  2. Step 2: Convert to fraction form
    32,582/44,963.21 = 18,434.54/x
  3. Step 3: Cross multiply
    32,582x = 44,963.21 × 18,434.54
  4. Step 4: Simplify right side
    32,582x = 828,876,093.27
  5. Step 5: Solve for x
    x = 828,876,093.27/32,582
  6. Step 6: Final answer
    x = 25,439.69

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1.5x scale

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.