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Finding the Fourth Proportional to 70,212.38, 96,893.08 and 38,381.50

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Solution

The fourth proportional to 70,212.38, 96,893.08 and 38,381.50 is: 52,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,212.38 : 96,893.08 = 38,381.50 : x
  2. Step 2: Convert to fraction form
    70,212.38/96,893.08 = 38,381.50/x
  3. Step 3: Cross multiply
    70,212.38x = 96,893.08 × 38,381.50
  4. Step 4: Simplify right side
    70,212.38x = 3,718,901,775.18
  5. Step 5: Solve for x
    x = 3,718,901,775.18/70,212.38
  6. Step 6: Final answer
    x = 52,966.47

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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.