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Finding the Fourth Proportional to 30,645.34, 45,976.21 and 16,602.06

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Solution

The fourth proportional to 30,645.34, 45,976.21 and 16,602.06 is: 24,907.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645.34 : 45,976.21 = 16,602.06 : x
  2. Step 2: Convert to fraction form
    30,645.34/45,976.21 = 16,602.06/x
  3. Step 3: Cross multiply
    30,645.34x = 45,976.21 × 16,602.06
  4. Step 4: Simplify right side
    30,645.34x = 763,299,927.90
  5. Step 5: Solve for x
    x = 763,299,927.90/30,645.34
  6. Step 6: Final answer
    x = 24,907.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.