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Finding the Fourth Proportional to 58,509.64, 80,743.50 and 31,652.26

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Solution

The fourth proportional to 58,509.64, 80,743.50 and 31,652.26 is: 43,680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,509.64 : 80,743.50 = 31,652.26 : x
  2. Step 2: Convert to fraction form
    58,509.64/80,743.50 = 31,652.26/x
  3. Step 3: Cross multiply
    58,509.64x = 80,743.50 × 31,652.26
  4. Step 4: Simplify right side
    58,509.64x = 2,555,714,255.31
  5. Step 5: Solve for x
    x = 2,555,714,255.31/58,509.64
  6. Step 6: Final answer
    x = 43,680.23

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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.