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Finding the Fourth Proportional to 38,502.66, 57,739.02 and 11,840.70

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Solution

The fourth proportional to 38,502.66, 57,739.02 and 11,840.70 is: 17,756.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,502.66 : 57,739.02 = 11,840.70 : x
  2. Step 2: Convert to fraction form
    38,502.66/57,739.02 = 11,840.70/x
  3. Step 3: Cross multiply
    38,502.66x = 57,739.02 × 11,840.70
  4. Step 4: Simplify right side
    38,502.66x = 683,670,414.11
  5. Step 5: Solve for x
    x = 683,670,414.11/38,502.66
  6. Step 6: Final answer
    x = 17,756.45

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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.