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Finding the Fourth Proportional to 82,113.72, 113,314.50 and 45,816.12

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Solution

The fourth proportional to 82,113.72, 113,314.50 and 45,816.12 is: 63,224.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,113.72 : 113,314.50 = 45,816.12 : x
  2. Step 2: Convert to fraction form
    82,113.72/113,314.50 = 45,816.12/x
  3. Step 3: Cross multiply
    82,113.72x = 113,314.50 × 45,816.12
  4. Step 4: Simplify right side
    82,113.72x = 5,191,630,729.74
  5. Step 5: Solve for x
    x = 5,191,630,729.74/82,113.72
  6. Step 6: Final answer
    x = 63,224.89

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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.