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Finding the Fourth Proportional to 82,663.50, 113,968.55 and 53,540.05

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Solution

The fourth proportional to 82,663.50, 113,968.55 and 53,540.05 is: 73,815.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,663.50 : 113,968.55 = 53,540.05 : x
  2. Step 2: Convert to fraction form
    82,663.50/113,968.55 = 53,540.05/x
  3. Step 3: Cross multiply
    82,663.50x = 113,968.55 × 53,540.05
  4. Step 4: Simplify right side
    82,663.50x = 6,101,881,871.40
  5. Step 5: Solve for x
    x = 6,101,881,871.40/82,663.50
  6. Step 6: Final answer
    x = 73,815.92

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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.