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Finding the Fourth Proportional to 71,804.14, 107,752.29 and 34,847.98

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Solution

The fourth proportional to 71,804.14, 107,752.29 and 34,847.98 is: 52,294.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,804.14 : 107,752.29 = 34,847.98 : x
  2. Step 2: Convert to fraction form
    71,804.14/107,752.29 = 34,847.98/x
  3. Step 3: Cross multiply
    71,804.14x = 107,752.29 × 34,847.98
  4. Step 4: Simplify right side
    71,804.14x = 3,754,949,646.87
  5. Step 5: Solve for x
    x = 3,754,949,646.87/71,804.14
  6. Step 6: Final answer
    x = 52,294.33

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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.