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Finding the Fourth Proportional to 56,605.72, 78,116.71 and 31,114.45

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Solution

The fourth proportional to 56,605.72, 78,116.71 and 31,114.45 is: 42,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,605.72 : 78,116.71 = 31,114.45 : x
  2. Step 2: Convert to fraction form
    56,605.72/78,116.71 = 31,114.45/x
  3. Step 3: Cross multiply
    56,605.72x = 78,116.71 × 31,114.45
  4. Step 4: Simplify right side
    56,605.72x = 2,430,557,921.30
  5. Step 5: Solve for x
    x = 2,430,557,921.30/56,605.72
  6. Step 6: Final answer
    x = 42,938.38

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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.