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Finding the Fourth Proportional to 38,477.39, 53,049.42 and 31,553.01

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Solution

The fourth proportional to 38,477.39, 53,049.42 and 31,553.01 is: 43,502.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,477.39 : 53,049.42 = 31,553.01 : x
  2. Step 2: Convert to fraction form
    38,477.39/53,049.42 = 31,553.01/x
  3. Step 3: Cross multiply
    38,477.39x = 53,049.42 × 31,553.01
  4. Step 4: Simplify right side
    38,477.39x = 1,673,868,879.75
  5. Step 5: Solve for x
    x = 1,673,868,879.75/38,477.39
  6. Step 6: Final answer
    x = 43,502.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.