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Finding the Fourth Proportional to 56,769.90, 78,344.10 and 31,277.88

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Solution

The fourth proportional to 56,769.90, 78,344.10 and 31,277.88 is: 43,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,769.90 : 78,344.10 = 31,277.88 : x
  2. Step 2: Convert to fraction form
    56,769.90/78,344.10 = 31,277.88/x
  3. Step 3: Cross multiply
    56,769.90x = 78,344.10 × 31,277.88
  4. Step 4: Simplify right side
    56,769.90x = 2,450,437,358.51
  5. Step 5: Solve for x
    x = 2,450,437,358.51/56,769.90
  6. Step 6: Final answer
    x = 43,164.38

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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.