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Finding the Fourth Proportional to 96,596.40, 144,827.10 and 57,133.20

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Solution

The fourth proportional to 96,596.40, 144,827.10 and 57,133.20 is: 85,659.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,596.40 : 144,827.10 = 57,133.20 : x
  2. Step 2: Convert to fraction form
    96,596.40/144,827.10 = 57,133.20/x
  3. Step 3: Cross multiply
    96,596.40x = 144,827.10 × 57,133.20
  4. Step 4: Simplify right side
    96,596.40x = 8,274,435,669.72
  5. Step 5: Solve for x
    x = 8,274,435,669.72/96,596.40
  6. Step 6: Final answer
    x = 85,659.88

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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.