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Finding the Fourth Proportional to 59,638.41, 82,303.16 and 32,782.95

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Solution

The fourth proportional to 59,638.41, 82,303.16 and 32,782.95 is: 45,241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,638.41 : 82,303.16 = 32,782.95 : x
  2. Step 2: Convert to fraction form
    59,638.41/82,303.16 = 32,782.95/x
  3. Step 3: Cross multiply
    59,638.41x = 82,303.16 × 32,782.95
  4. Step 4: Simplify right side
    59,638.41x = 2,698,140,215.21
  5. Step 5: Solve for x
    x = 2,698,140,215.21/59,638.41
  6. Step 6: Final answer
    x = 45,241.65

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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.