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Finding the Fourth Proportional to 56,589.28, 78,093.04 and 31,097.32

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Solution

The fourth proportional to 56,589.28, 78,093.04 and 31,097.32 is: 42,914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,589.28 : 78,093.04 = 31,097.32 : x
  2. Step 2: Convert to fraction form
    56,589.28/78,093.04 = 31,097.32/x
  3. Step 3: Cross multiply
    56,589.28x = 78,093.04 × 31,097.32
  4. Step 4: Simplify right side
    56,589.28x = 2,428,484,254.65
  5. Step 5: Solve for x
    x = 2,428,484,254.65/56,589.28
  6. Step 6: Final answer
    x = 42,914.21

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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.