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Finding the Fourth Proportional to 32,568.16, 48,852.16 and 11,793.28

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Solution

The fourth proportional to 32,568.16, 48,852.16 and 11,793.28 is: 17,689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,568.16 : 48,852.16 = 11,793.28 : x
  2. Step 2: Convert to fraction form
    32,568.16/48,852.16 = 11,793.28/x
  3. Step 3: Cross multiply
    32,568.16x = 48,852.16 × 11,793.28
  4. Step 4: Simplify right side
    32,568.16x = 576,127,201.48
  5. Step 5: Solve for x
    x = 576,127,201.48/32,568.16
  6. Step 6: Final answer
    x = 17,689.89

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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.