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Finding the Fourth Proportional to 35,672.64, 53,508.72 and 27,888

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Solution

The fourth proportional to 35,672.64, 53,508.72 and 27,888 is: 41,831.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,672.64 : 53,508.72 = 27,888 : x
  2. Step 2: Convert to fraction form
    35,672.64/53,508.72 = 27,888/x
  3. Step 3: Cross multiply
    35,672.64x = 53,508.72 × 27,888
  4. Step 4: Simplify right side
    35,672.64x = 1,492,251,183.36
  5. Step 5: Solve for x
    x = 1,492,251,183.36/35,672.64
  6. Step 6: Final answer
    x = 41,831.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.