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Finding the Fourth Proportional to 56,905.04, 78,501.48 and 35,676.56

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Solution

The fourth proportional to 56,905.04, 78,501.48 and 35,676.56 is: 49,216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,905.04 : 78,501.48 = 35,676.56 : x
  2. Step 2: Convert to fraction form
    56,905.04/78,501.48 = 35,676.56/x
  3. Step 3: Cross multiply
    56,905.04x = 78,501.48 × 35,676.56
  4. Step 4: Simplify right side
    56,905.04x = 2,800,662,761.31
  5. Step 5: Solve for x
    x = 2,800,662,761.31/56,905.04
  6. Step 6: Final answer
    x = 49,216.43

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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.