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Finding the Fourth Proportional to 57,878.34, 86,820.87 and 22,339.86

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Solution

The fourth proportional to 57,878.34, 86,820.87 and 22,339.86 is: 33,511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,878.34 : 86,820.87 = 22,339.86 : x
  2. Step 2: Convert to fraction form
    57,878.34/86,820.87 = 22,339.86/x
  3. Step 3: Cross multiply
    57,878.34x = 86,820.87 × 22,339.86
  4. Step 4: Simplify right side
    57,878.34x = 1,939,565,643.60
  5. Step 5: Solve for x
    x = 1,939,565,643.60/57,878.34
  6. Step 6: Final answer
    x = 33,511.08

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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.