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Finding the Fourth Proportional to 36,148.32, 49,883.76 and 20,232

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Solution

The fourth proportional to 36,148.32, 49,883.76 and 20,232 is: 27,919.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,148.32 : 49,883.76 = 20,232 : x
  2. Step 2: Convert to fraction form
    36,148.32/49,883.76 = 20,232/x
  3. Step 3: Cross multiply
    36,148.32x = 49,883.76 × 20,232
  4. Step 4: Simplify right side
    36,148.32x = 1,009,248,232.32
  5. Step 5: Solve for x
    x = 1,009,248,232.32/36,148.32
  6. Step 6: Final answer
    x = 27,919.64

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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.