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Finding the Fourth Proportional to 56,954.24, 78,594 and 31,798.88

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Solution

The fourth proportional to 56,954.24, 78,594 and 31,798.88 is: 43,880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,954.24 : 78,594 = 31,798.88 : x
  2. Step 2: Convert to fraction form
    56,954.24/78,594 = 31,798.88/x
  3. Step 3: Cross multiply
    56,954.24x = 78,594 × 31,798.88
  4. Step 4: Simplify right side
    56,954.24x = 2,499,201,174.72
  5. Step 5: Solve for x
    x = 2,499,201,174.72/56,954.24
  6. Step 6: Final answer
    x = 43,880.86

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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.