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Finding the Fourth Proportional to 56,605.10, 78,115.74 and 31,114.25

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Solution

The fourth proportional to 56,605.10, 78,115.74 and 31,114.25 is: 42,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,605.10 : 78,115.74 = 31,114.25 : x
  2. Step 2: Convert to fraction form
    56,605.10/78,115.74 = 31,114.25/x
  3. Step 3: Cross multiply
    56,605.10x = 78,115.74 × 31,114.25
  4. Step 4: Simplify right side
    56,605.10x = 2,430,512,272.72
  5. Step 5: Solve for x
    x = 2,430,512,272.72/56,605.10
  6. Step 6: Final answer
    x = 42,938.05

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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.