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Finding the Fourth Proportional to 30,893.49, 42,631.86 and 16,746.03

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Solution

The fourth proportional to 30,893.49, 42,631.86 and 16,746.03 is: 23,108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,893.49 : 42,631.86 = 16,746.03 : x
  2. Step 2: Convert to fraction form
    30,893.49/42,631.86 = 16,746.03/x
  3. Step 3: Cross multiply
    30,893.49x = 42,631.86 × 16,746.03
  4. Step 4: Simplify right side
    30,893.49x = 713,914,406.52
  5. Step 5: Solve for x
    x = 713,914,406.52/30,893.49
  6. Step 6: Final answer
    x = 23,108.89

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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.