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Finding the Fourth Proportional to 35,137.02, 48,483.80 and 20,031

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Solution

The fourth proportional to 35,137.02, 48,483.80 and 20,031 is: 27,639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,137.02 : 48,483.80 = 20,031 : x
  2. Step 2: Convert to fraction form
    35,137.02/48,483.80 = 20,031/x
  3. Step 3: Cross multiply
    35,137.02x = 48,483.80 × 20,031
  4. Step 4: Simplify right side
    35,137.02x = 971,178,997.80
  5. Step 5: Solve for x
    x = 971,178,997.80/35,137.02
  6. Step 6: Final answer
    x = 27,639.77

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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.