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Finding the Fourth Proportional to 59,685.48, 82,367.98 and 32,829

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Solution

The fourth proportional to 59,685.48, 82,367.98 and 32,829 is: 45,305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,685.48 : 82,367.98 = 32,829 : x
  2. Step 2: Convert to fraction form
    59,685.48/82,367.98 = 32,829/x
  3. Step 3: Cross multiply
    59,685.48x = 82,367.98 × 32,829
  4. Step 4: Simplify right side
    59,685.48x = 2,704,058,415.42
  5. Step 5: Solve for x
    x = 2,704,058,415.42/59,685.48
  6. Step 6: Final answer
    x = 45,305.13

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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.