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Finding the Fourth Proportional to 32,591.33, 48,889.62 and 10,407.86

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Solution

The fourth proportional to 32,591.33, 48,889.62 and 10,407.86 is: 15,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,591.33 : 48,889.62 = 10,407.86 : x
  2. Step 2: Convert to fraction form
    32,591.33/48,889.62 = 10,407.86/x
  3. Step 3: Cross multiply
    32,591.33x = 48,889.62 × 10,407.86
  4. Step 4: Simplify right side
    32,591.33x = 508,836,320.41
  5. Step 5: Solve for x
    x = 508,836,320.41/32,591.33
  6. Step 6: Final answer
    x = 15,612.63

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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.