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Finding the Fourth Proportional to 56,896, 78,516.48 and 31,745.50

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Solution

The fourth proportional to 56,896, 78,516.48 and 31,745.50 is: 43,808.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,896 : 78,516.48 = 31,745.50 : x
  2. Step 2: Convert to fraction form
    56,896/78,516.48 = 31,745.50/x
  3. Step 3: Cross multiply
    56,896x = 78,516.48 × 31,745.50
  4. Step 4: Simplify right side
    56,896x = 2,492,544,915.84
  5. Step 5: Solve for x
    x = 2,492,544,915.84/56,896
  6. Step 6: Final answer
    x = 43,808.79

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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.