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Finding the Fourth Proportional to 81,409.66, 112,289.24 and 57,261.84

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Solution

The fourth proportional to 81,409.66, 112,289.24 and 57,261.84 is: 78,981.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,409.66 : 112,289.24 = 57,261.84 : x
  2. Step 2: Convert to fraction form
    81,409.66/112,289.24 = 57,261.84/x
  3. Step 3: Cross multiply
    81,409.66x = 112,289.24 × 57,261.84
  4. Step 4: Simplify right side
    81,409.66x = 6,429,888,208.29
  5. Step 5: Solve for x
    x = 6,429,888,208.29/81,409.66
  6. Step 6: Final answer
    x = 78,981.88

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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.