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Finding the Fourth Proportional to 56,578.68, 78,078.42 and 31,428

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Solution

The fourth proportional to 56,578.68, 78,078.42 and 31,428 is: 43,370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,578.68 : 78,078.42 = 31,428 : x
  2. Step 2: Convert to fraction form
    56,578.68/78,078.42 = 31,428/x
  3. Step 3: Cross multiply
    56,578.68x = 78,078.42 × 31,428
  4. Step 4: Simplify right side
    56,578.68x = 2,453,848,583.76
  5. Step 5: Solve for x
    x = 2,453,848,583.76/56,578.68
  6. Step 6: Final answer
    x = 43,370.55

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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.