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Finding the Fourth Proportional to 38,477.76, 53,066.88 and 29,546.88

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Solution

The fourth proportional to 38,477.76, 53,066.88 and 29,546.88 is: 40,749.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,477.76 : 53,066.88 = 29,546.88 : x
  2. Step 2: Convert to fraction form
    38,477.76/53,066.88 = 29,546.88/x
  3. Step 3: Cross multiply
    38,477.76x = 53,066.88 × 29,546.88
  4. Step 4: Simplify right side
    38,477.76x = 1,567,960,735.33
  5. Step 5: Solve for x
    x = 1,567,960,735.33/38,477.76
  6. Step 6: Final answer
    x = 40,749.79

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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.