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Finding the Fourth Proportional to 30,994.95, 42,773.47 and 16,847.80

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Solution

The fourth proportional to 30,994.95, 42,773.47 and 16,847.80 is: 23,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,994.95 : 42,773.47 = 16,847.80 : x
  2. Step 2: Convert to fraction form
    30,994.95/42,773.47 = 16,847.80/x
  3. Step 3: Cross multiply
    30,994.95x = 42,773.47 × 16,847.80
  4. Step 4: Simplify right side
    30,994.95x = 720,638,718.81
  5. Step 5: Solve for x
    x = 720,638,718.81/30,994.95
  6. Step 6: Final answer
    x = 23,250.20

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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.