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Finding the Fourth Proportional to 35,394.84, 53,037.17 and 13,202.25

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Solution

The fourth proportional to 35,394.84, 53,037.17 and 13,202.25 is: 19,782.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,394.84 : 53,037.17 = 13,202.25 : x
  2. Step 2: Convert to fraction form
    35,394.84/53,037.17 = 13,202.25/x
  3. Step 3: Cross multiply
    35,394.84x = 53,037.17 × 13,202.25
  4. Step 4: Simplify right side
    35,394.84x = 700,209,911.62
  5. Step 5: Solve for x
    x = 700,209,911.62/35,394.84
  6. Step 6: Final answer
    x = 19,782.82

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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.