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Finding the Fourth Proportional to 84,697.38, 117,019.68 and 72,083.86

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Solution

The fourth proportional to 84,697.38, 117,019.68 and 72,083.86 is: 99,592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,697.38 : 117,019.68 = 72,083.86 : x
  2. Step 2: Convert to fraction form
    84,697.38/117,019.68 = 72,083.86/x
  3. Step 3: Cross multiply
    84,697.38x = 117,019.68 × 72,083.86
  4. Step 4: Simplify right side
    84,697.38x = 8,435,230,547.56
  5. Step 5: Solve for x
    x = 8,435,230,547.56/84,697.38
  6. Step 6: Final answer
    x = 99,592.57

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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.