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Finding the Fourth Proportional to 57,641.88, 86,415.87 and 38,686.06

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Solution

The fourth proportional to 57,641.88, 86,415.87 and 38,686.06 is: 57,997.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,641.88 : 86,415.87 = 38,686.06 : x
  2. Step 2: Convert to fraction form
    57,641.88/86,415.87 = 38,686.06/x
  3. Step 3: Cross multiply
    57,641.88x = 86,415.87 × 38,686.06
  4. Step 4: Simplify right side
    57,641.88x = 3,343,089,531.77
  5. Step 5: Solve for x
    x = 3,343,089,531.77/57,641.88
  6. Step 6: Final answer
    x = 57,997.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.