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Finding the Fourth Proportional to 30,854.94, 42,579.75 and 16,707.90

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Solution

The fourth proportional to 30,854.94, 42,579.75 and 16,707.90 is: 23,056.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854.94 : 42,579.75 = 16,707.90 : x
  2. Step 2: Convert to fraction form
    30,854.94/42,579.75 = 16,707.90/x
  3. Step 3: Cross multiply
    30,854.94x = 42,579.75 × 16,707.90
  4. Step 4: Simplify right side
    30,854.94x = 711,418,205.03
  5. Step 5: Solve for x
    x = 711,418,205.03/30,854.94
  6. Step 6: Final answer
    x = 23,056.87

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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.