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Finding the Fourth Proportional to 76,494.42, 105,573.72 and 55,055.10

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Solution

The fourth proportional to 76,494.42, 105,573.72 and 55,055.10 is: 75,984.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,494.42 : 105,573.72 = 55,055.10 : x
  2. Step 2: Convert to fraction form
    76,494.42/105,573.72 = 55,055.10/x
  3. Step 3: Cross multiply
    76,494.42x = 105,573.72 × 55,055.10
  4. Step 4: Simplify right side
    76,494.42x = 5,812,371,711.97
  5. Step 5: Solve for x
    x = 5,812,371,711.97/76,494.42
  6. Step 6: Final answer
    x = 75,984.26

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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.