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Finding the Fourth Proportional to 35,977.74, 53,966.68 and 13,493.50

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Solution

The fourth proportional to 35,977.74, 53,966.68 and 13,493.50 is: 20,240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,977.74 : 53,966.68 = 13,493.50 : x
  2. Step 2: Convert to fraction form
    35,977.74/53,966.68 = 13,493.50/x
  3. Step 3: Cross multiply
    35,977.74x = 53,966.68 × 13,493.50
  4. Step 4: Simplify right side
    35,977.74x = 728,199,396.58
  5. Step 5: Solve for x
    x = 728,199,396.58/35,977.74
  6. Step 6: Final answer
    x = 20,240.28

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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.