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Finding the Fourth Proportional to 35,872.15, 53,740.68 and 21,037

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Solution

The fourth proportional to 35,872.15, 53,740.68 and 21,037 is: 31,515.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,872.15 : 53,740.68 = 21,037 : x
  2. Step 2: Convert to fraction form
    35,872.15/53,740.68 = 21,037/x
  3. Step 3: Cross multiply
    35,872.15x = 53,740.68 × 21,037
  4. Step 4: Simplify right side
    35,872.15x = 1,130,542,685.16
  5. Step 5: Solve for x
    x = 1,130,542,685.16/35,872.15
  6. Step 6: Final answer
    x = 31,515.89

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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.