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Finding the Fourth Proportional to 52,008.82, 77,950.82 and 29,837.50

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Solution

The fourth proportional to 52,008.82, 77,950.82 and 29,837.50 is: 44,720.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,008.82 : 77,950.82 = 29,837.50 : x
  2. Step 2: Convert to fraction form
    52,008.82/77,950.82 = 29,837.50/x
  3. Step 3: Cross multiply
    52,008.82x = 77,950.82 × 29,837.50
  4. Step 4: Simplify right side
    52,008.82x = 2,325,857,591.75
  5. Step 5: Solve for x
    x = 2,325,857,591.75/52,008.82
  6. Step 6: Final answer
    x = 44,720.45

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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.