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Finding the Fourth Proportional to 38,828.76, 53,570.81 and 31,646.33

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Solution

The fourth proportional to 38,828.76, 53,570.81 and 31,646.33 is: 43,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,828.76 : 53,570.81 = 31,646.33 : x
  2. Step 2: Convert to fraction form
    38,828.76/53,570.81 = 31,646.33/x
  3. Step 3: Cross multiply
    38,828.76x = 53,570.81 × 31,646.33
  4. Step 4: Simplify right side
    38,828.76x = 1,695,319,105.54
  5. Step 5: Solve for x
    x = 1,695,319,105.54/38,828.76
  6. Step 6: Final answer
    x = 43,661.43

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