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Finding the Fourth Proportional to 51,599.25, 77,402.52 and 20,434.50

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Solution

The fourth proportional to 51,599.25, 77,402.52 and 20,434.50 is: 30,653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,599.25 : 77,402.52 = 20,434.50 : x
  2. Step 2: Convert to fraction form
    51,599.25/77,402.52 = 20,434.50/x
  3. Step 3: Cross multiply
    51,599.25x = 77,402.52 × 20,434.50
  4. Step 4: Simplify right side
    51,599.25x = 1,581,681,794.94
  5. Step 5: Solve for x
    x = 1,581,681,794.94/51,599.25
  6. Step 6: Final answer
    x = 30,653.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.