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Finding the Fourth Proportional to 30,772.98, 46,143.03 and 15,945.12

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Solution

The fourth proportional to 30,772.98, 46,143.03 and 15,945.12 is: 23,909.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772.98 : 46,143.03 = 15,945.12 : x
  2. Step 2: Convert to fraction form
    30,772.98/46,143.03 = 15,945.12/x
  3. Step 3: Cross multiply
    30,772.98x = 46,143.03 × 15,945.12
  4. Step 4: Simplify right side
    30,772.98x = 735,756,150.51
  5. Step 5: Solve for x
    x = 735,756,150.51/30,772.98
  6. Step 6: Final answer
    x = 23,909.16

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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.