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Finding the Fourth Proportional to 109,764.98, 164,628.32 and 30,860.45

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Solution

The fourth proportional to 109,764.98, 164,628.32 and 30,860.45 is: 46,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,764.98 : 164,628.32 = 30,860.45 : x
  2. Step 2: Convert to fraction form
    109,764.98/164,628.32 = 30,860.45/x
  3. Step 3: Cross multiply
    109,764.98x = 164,628.32 × 30,860.45
  4. Step 4: Simplify right side
    109,764.98x = 5,080,503,060.50
  5. Step 5: Solve for x
    x = 5,080,503,060.50/109,764.98
  6. Step 6: Final answer
    x = 46,285.28

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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.