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Finding the Fourth Proportional to 32,384.77, 48,577.16 and 12,649.49

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Solution

The fourth proportional to 32,384.77, 48,577.16 and 12,649.49 is: 18,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,384.77 : 48,577.16 = 12,649.49 : x
  2. Step 2: Convert to fraction form
    32,384.77/48,577.16 = 12,649.49/x
  3. Step 3: Cross multiply
    32,384.77x = 48,577.16 × 12,649.49
  4. Step 4: Simplify right side
    32,384.77x = 614,476,114.96
  5. Step 5: Solve for x
    x = 614,476,114.96/32,384.77
  6. Step 6: Final answer
    x = 18,974.23

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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.