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Finding the Fourth Proportional to 37,678.84, 56,516.87 and 15,199.25

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Solution

The fourth proportional to 37,678.84, 56,516.87 and 15,199.25 is: 22,798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,678.84 : 56,516.87 = 15,199.25 : x
  2. Step 2: Convert to fraction form
    37,678.84/56,516.87 = 15,199.25/x
  3. Step 3: Cross multiply
    37,678.84x = 56,516.87 × 15,199.25
  4. Step 4: Simplify right side
    37,678.84x = 859,013,791.76
  5. Step 5: Solve for x
    x = 859,013,791.76/37,678.84
  6. Step 6: Final answer
    x = 22,798.31

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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.