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Finding the Fourth Proportional to 39,702.80, 59,511 and 16,322.96

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Solution

The fourth proportional to 39,702.80, 59,511 and 16,322.96 is: 24,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,702.80 : 59,511 = 16,322.96 : x
  2. Step 2: Convert to fraction form
    39,702.80/59,511 = 16,322.96/x
  3. Step 3: Cross multiply
    39,702.80x = 59,511 × 16,322.96
  4. Step 4: Simplify right side
    39,702.80x = 971,395,672.56
  5. Step 5: Solve for x
    x = 971,395,672.56/39,702.80
  6. Step 6: Final answer
    x = 24,466.68

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Why These Related Problems?

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