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Finding the Fourth Proportional to 35,791.68, 53,693.81 and 13,607.00

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Solution

The fourth proportional to 35,791.68, 53,693.81 and 13,607.00 is: 20,412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,791.68 : 53,693.81 = 13,607.00 : x
  2. Step 2: Convert to fraction form
    35,791.68/53,693.81 = 13,607.00/x
  3. Step 3: Cross multiply
    35,791.68x = 53,693.81 × 13,607.00
  4. Step 4: Simplify right side
    35,791.68x = 730,611,336.17
  5. Step 5: Solve for x
    x = 730,611,336.17/35,791.68
  6. Step 6: Final answer
    x = 20,412.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.