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Finding the Fourth Proportional to 105,485.44, 145,569.80 and 57,738.36

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Solution

The fourth proportional to 105,485.44, 145,569.80 and 57,738.36 is: 79,678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,485.44 : 145,569.80 = 57,738.36 : x
  2. Step 2: Convert to fraction form
    105,485.44/145,569.80 = 57,738.36/x
  3. Step 3: Cross multiply
    105,485.44x = 145,569.80 × 57,738.36
  4. Step 4: Simplify right side
    105,485.44x = 8,404,961,517.53
  5. Step 5: Solve for x
    x = 8,404,961,517.53/105,485.44
  6. Step 6: Final answer
    x = 79,678.88

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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.