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Finding the Fourth Proportional to 57,145.36, 78,858.86 and 31,650.72

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Solution

The fourth proportional to 57,145.36, 78,858.86 and 31,650.72 is: 43,677.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,145.36 : 78,858.86 = 31,650.72 : x
  2. Step 2: Convert to fraction form
    57,145.36/78,858.86 = 31,650.72/x
  3. Step 3: Cross multiply
    57,145.36x = 78,858.86 × 31,650.72
  4. Step 4: Simplify right side
    57,145.36x = 2,495,939,697.38
  5. Step 5: Solve for x
    x = 2,495,939,697.38/57,145.36
  6. Step 6: Final answer
    x = 43,677.03

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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.