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Finding the Fourth Proportional to 35,643.12, 53,429.40 and 16,890

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Solution

The fourth proportional to 35,643.12, 53,429.40 and 16,890 is: 25,318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,643.12 : 53,429.40 = 16,890 : x
  2. Step 2: Convert to fraction form
    35,643.12/53,429.40 = 16,890/x
  3. Step 3: Cross multiply
    35,643.12x = 53,429.40 × 16,890
  4. Step 4: Simplify right side
    35,643.12x = 902,422,566
  5. Step 5: Solve for x
    x = 902,422,566/35,643.12
  6. Step 6: Final answer
    x = 25,318.28

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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.