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Finding the Fourth Proportional to 37,857.66, 56,784.33 and 10,153.50

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Solution

The fourth proportional to 37,857.66, 56,784.33 and 10,153.50 is: 15,229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,857.66 : 56,784.33 = 10,153.50 : x
  2. Step 2: Convert to fraction form
    37,857.66/56,784.33 = 10,153.50/x
  3. Step 3: Cross multiply
    37,857.66x = 56,784.33 × 10,153.50
  4. Step 4: Simplify right side
    37,857.66x = 576,559,694.66
  5. Step 5: Solve for x
    x = 576,559,694.66/37,857.66
  6. Step 6: Final answer
    x = 15,229.67

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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.