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Finding the Fourth Proportional to 35,893.46, 53,840.24 and 9,598.20

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Solution

The fourth proportional to 35,893.46, 53,840.24 and 9,598.20 is: 14,397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,893.46 : 53,840.24 = 9,598.20 : x
  2. Step 2: Convert to fraction form
    35,893.46/53,840.24 = 9,598.20/x
  3. Step 3: Cross multiply
    35,893.46x = 53,840.24 × 9,598.20
  4. Step 4: Simplify right side
    35,893.46x = 516,769,231.66
  5. Step 5: Solve for x
    x = 516,769,231.66/35,893.46
  6. Step 6: Final answer
    x = 14,397.31

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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.