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Finding the Fourth Proportional to 30,765.94, 42,457.02 and 16,618.78

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Solution

The fourth proportional to 30,765.94, 42,457.02 and 16,618.78 is: 22,933.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765.94 : 42,457.02 = 16,618.78 : x
  2. Step 2: Convert to fraction form
    30,765.94/42,457.02 = 16,618.78/x
  3. Step 3: Cross multiply
    30,765.94x = 42,457.02 × 16,618.78
  4. Step 4: Simplify right side
    30,765.94x = 705,583,865.59
  5. Step 5: Solve for x
    x = 705,583,865.59/30,765.94
  6. Step 6: Final answer
    x = 22,933.93

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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.