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Finding the Fourth Proportional to 64,096.16, 96,013.68 and 52,292

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Solution

The fourth proportional to 64,096.16, 96,013.68 and 52,292 is: 78,331.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,096.16 : 96,013.68 = 52,292 : x
  2. Step 2: Convert to fraction form
    64,096.16/96,013.68 = 52,292/x
  3. Step 3: Cross multiply
    64,096.16x = 96,013.68 × 52,292
  4. Step 4: Simplify right side
    64,096.16x = 5,020,747,354.56
  5. Step 5: Solve for x
    x = 5,020,747,354.56/64,096.16
  6. Step 6: Final answer
    x = 78,331.48

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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.