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Finding the Fourth Proportional to 58,602.44, 80,871.74 and 32,761

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Solution

The fourth proportional to 58,602.44, 80,871.74 and 32,761 is: 45,210.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,602.44 : 80,871.74 = 32,761 : x
  2. Step 2: Convert to fraction form
    58,602.44/80,871.74 = 32,761/x
  3. Step 3: Cross multiply
    58,602.44x = 80,871.74 × 32,761
  4. Step 4: Simplify right side
    58,602.44x = 2,649,439,074.14
  5. Step 5: Solve for x
    x = 2,649,439,074.14/58,602.44
  6. Step 6: Final answer
    x = 45,210.39

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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.