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Finding the Fourth Proportional to 30,893.65, 42,633.31 and 16,746.50

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Solution

The fourth proportional to 30,893.65, 42,633.31 and 16,746.50 is: 23,110.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,893.65 : 42,633.31 = 16,746.50 : x
  2. Step 2: Convert to fraction form
    30,893.65/42,633.31 = 16,746.50/x
  3. Step 3: Cross multiply
    30,893.65x = 42,633.31 × 16,746.50
  4. Step 4: Simplify right side
    30,893.65x = 713,958,470.88
  5. Step 5: Solve for x
    x = 713,958,470.88/30,893.65
  6. Step 6: Final answer
    x = 23,110.20

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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.