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Finding the Fourth Proportional to 37,838.85, 56,767.15 and 11,543.58

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Solution

The fourth proportional to 37,838.85, 56,767.15 and 11,543.58 is: 17,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,838.85 : 56,767.15 = 11,543.58 : x
  2. Step 2: Convert to fraction form
    37,838.85/56,767.15 = 11,543.58/x
  3. Step 3: Cross multiply
    37,838.85x = 56,767.15 × 11,543.58
  4. Step 4: Simplify right side
    37,838.85x = 655,296,086.89
  5. Step 5: Solve for x
    x = 655,296,086.89/37,838.85
  6. Step 6: Final answer
    x = 17,318.08

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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.