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Finding the Fourth Proportional to 67,884.18, 101,858.68 and 32,804.34

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Solution

The fourth proportional to 67,884.18, 101,858.68 and 32,804.34 is: 49,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,884.18 : 101,858.68 = 32,804.34 : x
  2. Step 2: Convert to fraction form
    67,884.18/101,858.68 = 32,804.34/x
  3. Step 3: Cross multiply
    67,884.18x = 101,858.68 × 32,804.34
  4. Step 4: Simplify right side
    67,884.18x = 3,341,406,770.67
  5. Step 5: Solve for x
    x = 3,341,406,770.67/67,884.18
  6. Step 6: Final answer
    x = 49,222.17

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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.