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Finding the Fourth Proportional to 30,563.84, 45,832.80 and 10,847.36

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Solution

The fourth proportional to 30,563.84, 45,832.80 and 10,847.36 is: 16,266.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,563.84 : 45,832.80 = 10,847.36 : x
  2. Step 2: Convert to fraction form
    30,563.84/45,832.80 = 10,847.36/x
  3. Step 3: Cross multiply
    30,563.84x = 45,832.80 × 10,847.36
  4. Step 4: Simplify right side
    30,563.84x = 497,164,881.41
  5. Step 5: Solve for x
    x = 497,164,881.41/30,563.84
  6. Step 6: Final answer
    x = 16,266.44

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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.