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Finding the Fourth Proportional to 35,564.88, 49,089 and 20,459.16

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Solution

The fourth proportional to 35,564.88, 49,089 and 20,459.16 is: 28,239.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,564.88 : 49,089 = 20,459.16 : x
  2. Step 2: Convert to fraction form
    35,564.88/49,089 = 20,459.16/x
  3. Step 3: Cross multiply
    35,564.88x = 49,089 × 20,459.16
  4. Step 4: Simplify right side
    35,564.88x = 1,004,319,705.24
  5. Step 5: Solve for x
    x = 1,004,319,705.24/35,564.88
  6. Step 6: Final answer
    x = 28,239.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.