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Finding the Fourth Proportional to 82,906.56, 124,267.50 and 32,973.30

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Solution

The fourth proportional to 82,906.56, 124,267.50 and 32,973.30 is: 49,423.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,906.56 : 124,267.50 = 32,973.30 : x
  2. Step 2: Convert to fraction form
    82,906.56/124,267.50 = 32,973.30/x
  3. Step 3: Cross multiply
    82,906.56x = 124,267.50 × 32,973.30
  4. Step 4: Simplify right side
    82,906.56x = 4,097,509,557.75
  5. Step 5: Solve for x
    x = 4,097,509,557.75/82,906.56
  6. Step 6: Final answer
    x = 49,423.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.