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Finding the Fourth Proportional to 30,024.50, 41,433.81 and 16,776.50

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Solution

The fourth proportional to 30,024.50, 41,433.81 and 16,776.50 is: 23,151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,024.50 : 41,433.81 = 16,776.50 : x
  2. Step 2: Convert to fraction form
    30,024.50/41,433.81 = 16,776.50/x
  3. Step 3: Cross multiply
    30,024.50x = 41,433.81 × 16,776.50
  4. Step 4: Simplify right side
    30,024.50x = 695,114,313.47
  5. Step 5: Solve for x
    x = 695,114,313.47/30,024.50
  6. Step 6: Final answer
    x = 23,151.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.