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Finding the Fourth Proportional to 35,119.36, 52,683.90 and 14,338

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Solution

The fourth proportional to 35,119.36, 52,683.90 and 14,338 is: 21,508.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,119.36 : 52,683.90 = 14,338 : x
  2. Step 2: Convert to fraction form
    35,119.36/52,683.90 = 14,338/x
  3. Step 3: Cross multiply
    35,119.36x = 52,683.90 × 14,338
  4. Step 4: Simplify right side
    35,119.36x = 755,381,758.20
  5. Step 5: Solve for x
    x = 755,381,758.20/35,119.36
  6. Step 6: Final answer
    x = 21,508.98

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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.