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Finding the Fourth Proportional to 35,896.96, 53,845.56 and 17,416

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Solution

The fourth proportional to 35,896.96, 53,845.56 and 17,416 is: 26,124.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,896.96 : 53,845.56 = 17,416 : x
  2. Step 2: Convert to fraction form
    35,896.96/53,845.56 = 17,416/x
  3. Step 3: Cross multiply
    35,896.96x = 53,845.56 × 17,416
  4. Step 4: Simplify right side
    35,896.96x = 937,774,272.96
  5. Step 5: Solve for x
    x = 937,774,272.96/35,896.96
  6. Step 6: Final answer
    x = 26,124.06

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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.