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Finding the Fourth Proportional to 35,922.84, 53,908.92 and 12,549.30

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Solution

The fourth proportional to 35,922.84, 53,908.92 and 12,549.30 is: 18,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,922.84 : 53,908.92 = 12,549.30 : x
  2. Step 2: Convert to fraction form
    35,922.84/53,908.92 = 12,549.30/x
  3. Step 3: Cross multiply
    35,922.84x = 53,908.92 × 12,549.30
  4. Step 4: Simplify right side
    35,922.84x = 676,519,209.76
  5. Step 5: Solve for x
    x = 676,519,209.76/35,922.84
  6. Step 6: Final answer
    x = 18,832.56

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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.