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Finding the Fourth Proportional to 35,694, 53,548.63 and 10,731.96

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Solution

The fourth proportional to 35,694, 53,548.63 and 10,731.96 is: 16,100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,694 : 53,548.63 = 10,731.96 : x
  2. Step 2: Convert to fraction form
    35,694/53,548.63 = 10,731.96/x
  3. Step 3: Cross multiply
    35,694x = 53,548.63 × 10,731.96
  4. Step 4: Simplify right side
    35,694x = 574,681,728.38
  5. Step 5: Solve for x
    x = 574,681,728.38/35,694
  6. Step 6: Final answer
    x = 16,100.23

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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.