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Finding the Fourth Proportional to 82,587, 113,968.20 and 48,129.60

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Solution

The fourth proportional to 82,587, 113,968.20 and 48,129.60 is: 66,417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,587 : 113,968.20 = 48,129.60 : x
  2. Step 2: Convert to fraction form
    82,587/113,968.20 = 48,129.60/x
  3. Step 3: Cross multiply
    82,587x = 113,968.20 × 48,129.60
  4. Step 4: Simplify right side
    82,587x = 5,485,243,878.72
  5. Step 5: Solve for x
    x = 5,485,243,878.72/82,587
  6. Step 6: Final answer
    x = 66,417.76

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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.