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Finding the Fourth Proportional to 32,424.36, 48,594.15 and 16,616

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Solution

The fourth proportional to 32,424.36, 48,594.15 and 16,616 is: 24,902.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,424.36 : 48,594.15 = 16,616 : x
  2. Step 2: Convert to fraction form
    32,424.36/48,594.15 = 16,616/x
  3. Step 3: Cross multiply
    32,424.36x = 48,594.15 × 16,616
  4. Step 4: Simplify right side
    32,424.36x = 807,440,396.40
  5. Step 5: Solve for x
    x = 807,440,396.40/32,424.36
  6. Step 6: Final answer
    x = 24,902.28

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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.