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Finding the Fourth Proportional to 120,454.88, 180,682.38 and 37,348.88

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Solution

The fourth proportional to 120,454.88, 180,682.38 and 37,348.88 is: 56,023.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,454.88 : 180,682.38 = 37,348.88 : x
  2. Step 2: Convert to fraction form
    120,454.88/180,682.38 = 37,348.88/x
  3. Step 3: Cross multiply
    120,454.88x = 180,682.38 × 37,348.88
  4. Step 4: Simplify right side
    120,454.88x = 6,748,283,625.32
  5. Step 5: Solve for x
    x = 6,748,283,625.32/120,454.88
  6. Step 6: Final answer
    x = 56,023.33

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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.