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Finding the Fourth Proportional to 59,638.68, 82,303.56 and 32,782.05

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Solution

The fourth proportional to 59,638.68, 82,303.56 and 32,782.05 is: 45,240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,638.68 : 82,303.56 = 32,782.05 : x
  2. Step 2: Convert to fraction form
    59,638.68/82,303.56 = 32,782.05/x
  3. Step 3: Cross multiply
    59,638.68x = 82,303.56 × 32,782.05
  4. Step 4: Simplify right side
    59,638.68x = 2,698,079,419.10
  5. Step 5: Solve for x
    x = 2,698,079,419.10/59,638.68
  6. Step 6: Final answer
    x = 45,240.43

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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.