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Finding the Fourth Proportional to 76,415.72, 105,410.36 and 48,072.20

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Solution

The fourth proportional to 76,415.72, 105,410.36 and 48,072.20 is: 66,312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,415.72 : 105,410.36 = 48,072.20 : x
  2. Step 2: Convert to fraction form
    76,415.72/105,410.36 = 48,072.20/x
  3. Step 3: Cross multiply
    76,415.72x = 105,410.36 × 48,072.20
  4. Step 4: Simplify right side
    76,415.72x = 5,067,307,140.58
  5. Step 5: Solve for x
    x = 5,067,307,140.58/76,415.72
  6. Step 6: Final answer
    x = 66,312.37

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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.