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Finding the Fourth Proportional to 55,867.82, 77,097.59 and 30,717.32

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Solution

The fourth proportional to 55,867.82, 77,097.59 and 30,717.32 is: 42,389.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,867.82 : 77,097.59 = 30,717.32 : x
  2. Step 2: Convert to fraction form
    55,867.82/77,097.59 = 30,717.32/x
  3. Step 3: Cross multiply
    55,867.82x = 77,097.59 × 30,717.32
  4. Step 4: Simplify right side
    55,867.82x = 2,368,231,343.26
  5. Step 5: Solve for x
    x = 2,368,231,343.26/55,867.82
  6. Step 6: Final answer
    x = 42,389.90

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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.