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Finding the Fourth Proportional to 71,038.86, 106,523.73 and 37,774.86

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Solution

The fourth proportional to 71,038.86, 106,523.73 and 37,774.86 is: 56,643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,038.86 : 106,523.73 = 37,774.86 : x
  2. Step 2: Convert to fraction form
    71,038.86/106,523.73 = 37,774.86/x
  3. Step 3: Cross multiply
    71,038.86x = 106,523.73 × 37,774.86
  4. Step 4: Simplify right side
    71,038.86x = 4,023,918,987.43
  5. Step 5: Solve for x
    x = 4,023,918,987.43/71,038.86
  6. Step 6: Final answer
    x = 56,643.91

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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.