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Finding the Fourth Proportional to 37,108.36, 55,656.88 and 12,151

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Solution

The fourth proportional to 37,108.36, 55,656.88 and 12,151 is: 18,224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,108.36 : 55,656.88 = 12,151 : x
  2. Step 2: Convert to fraction form
    37,108.36/55,656.88 = 12,151/x
  3. Step 3: Cross multiply
    37,108.36x = 55,656.88 × 12,151
  4. Step 4: Simplify right side
    37,108.36x = 676,286,748.88
  5. Step 5: Solve for x
    x = 676,286,748.88/37,108.36
  6. Step 6: Final answer
    x = 18,224.65

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