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Finding the Fourth Proportional to 42,153.75, 63,234.27 and 10,989

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Solution

The fourth proportional to 42,153.75, 63,234.27 and 10,989 is: 16,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,153.75 : 63,234.27 = 10,989 : x
  2. Step 2: Convert to fraction form
    42,153.75/63,234.27 = 10,989/x
  3. Step 3: Cross multiply
    42,153.75x = 63,234.27 × 10,989
  4. Step 4: Simplify right side
    42,153.75x = 694,881,393.03
  5. Step 5: Solve for x
    x = 694,881,393.03/42,153.75
  6. Step 6: Final answer
    x = 16,484.45

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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.