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Finding the Fourth Proportional to 37,855, 56,783.58 and 10,153

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Solution

The fourth proportional to 37,855, 56,783.58 and 10,153 is: 15,229.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,855 : 56,783.58 = 10,153 : x
  2. Step 2: Convert to fraction form
    37,855/56,783.58 = 10,153/x
  3. Step 3: Cross multiply
    37,855x = 56,783.58 × 10,153
  4. Step 4: Simplify right side
    37,855x = 576,523,687.74
  5. Step 5: Solve for x
    x = 576,523,687.74/37,855
  6. Step 6: Final answer
    x = 15,229.79

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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.