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Finding the Fourth Proportional to 56,338.38, 77,745.87 and 31,188.06

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Solution

The fourth proportional to 56,338.38, 77,745.87 and 31,188.06 is: 43,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,338.38 : 77,745.87 = 31,188.06 : x
  2. Step 2: Convert to fraction form
    56,338.38/77,745.87 = 31,188.06/x
  3. Step 3: Cross multiply
    56,338.38x = 77,745.87 × 31,188.06
  4. Step 4: Simplify right side
    56,338.38x = 2,424,742,858.31
  5. Step 5: Solve for x
    x = 2,424,742,858.31/56,338.38
  6. Step 6: Final answer
    x = 43,038.92

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Why These Related Problems?

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