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Finding the Fourth Proportional to 47,821, 71,743.02 and 14,989

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Solution

The fourth proportional to 47,821, 71,743.02 and 14,989 is: 22,487.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,821 : 71,743.02 = 14,989 : x
  2. Step 2: Convert to fraction form
    47,821/71,743.02 = 14,989/x
  3. Step 3: Cross multiply
    47,821x = 71,743.02 × 14,989
  4. Step 4: Simplify right side
    47,821x = 1,075,356,126.78
  5. Step 5: Solve for x
    x = 1,075,356,126.78/47,821
  6. Step 6: Final answer
    x = 22,487.11

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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.