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Finding the Fourth Proportional to 38,657.64, 53,346.66 and 22,738.60

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Solution

The fourth proportional to 38,657.64, 53,346.66 and 22,738.60 is: 31,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,657.64 : 53,346.66 = 22,738.60 : x
  2. Step 2: Convert to fraction form
    38,657.64/53,346.66 = 22,738.60/x
  3. Step 3: Cross multiply
    38,657.64x = 53,346.66 × 22,738.60
  4. Step 4: Simplify right side
    38,657.64x = 1,213,028,363.08
  5. Step 5: Solve for x
    x = 1,213,028,363.08/38,657.64
  6. Step 6: Final answer
    x = 31,378.75

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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.