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Finding the Fourth Proportional to 56,627.51, 78,146.01 and 31,134.31

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Solution

The fourth proportional to 56,627.51, 78,146.01 and 31,134.31 is: 42,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,627.51 : 78,146.01 = 31,134.31 : x
  2. Step 2: Convert to fraction form
    56,627.51/78,146.01 = 31,134.31/x
  3. Step 3: Cross multiply
    56,627.51x = 78,146.01 × 31,134.31
  4. Step 4: Simplify right side
    56,627.51x = 2,433,022,198.29
  5. Step 5: Solve for x
    x = 2,433,022,198.29/56,627.51
  6. Step 6: Final answer
    x = 42,965.38

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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.