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Finding the Fourth Proportional to 56,062.36, 77,405.58 and 35,971

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Solution

The fourth proportional to 56,062.36, 77,405.58 and 35,971 is: 49,665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,062.36 : 77,405.58 = 35,971 : x
  2. Step 2: Convert to fraction form
    56,062.36/77,405.58 = 35,971/x
  3. Step 3: Cross multiply
    56,062.36x = 77,405.58 × 35,971
  4. Step 4: Simplify right side
    56,062.36x = 2,784,356,118.18
  5. Step 5: Solve for x
    x = 2,784,356,118.18/56,062.36
  6. Step 6: Final answer
    x = 49,665.34

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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.