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Finding the Fourth Proportional to 76,201.66, 105,159 and 45,981.15

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Solution

The fourth proportional to 76,201.66, 105,159 and 45,981.15 is: 63,454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,201.66 : 105,159 = 45,981.15 : x
  2. Step 2: Convert to fraction form
    76,201.66/105,159 = 45,981.15/x
  3. Step 3: Cross multiply
    76,201.66x = 105,159 × 45,981.15
  4. Step 4: Simplify right side
    76,201.66x = 4,835,331,752.85
  5. Step 5: Solve for x
    x = 4,835,331,752.85/76,201.66
  6. Step 6: Final answer
    x = 63,454.41

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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.