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Finding the Fourth Proportional to 30,800.25, 46,204.02 and 10,023.75

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Solution

The fourth proportional to 30,800.25, 46,204.02 and 10,023.75 is: 15,036.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,800.25 : 46,204.02 = 10,023.75 : x
  2. Step 2: Convert to fraction form
    30,800.25/46,204.02 = 10,023.75/x
  3. Step 3: Cross multiply
    30,800.25x = 46,204.02 × 10,023.75
  4. Step 4: Simplify right side
    30,800.25x = 463,137,545.48
  5. Step 5: Solve for x
    x = 463,137,545.48/30,800.25
  6. Step 6: Final answer
    x = 15,036.81

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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.