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Finding the Fourth Proportional to 35,673.64, 53,510.22 and 27,889

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Solution

The fourth proportional to 35,673.64, 53,510.22 and 27,889 is: 41,833.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,673.64 : 53,510.22 = 27,889 : x
  2. Step 2: Convert to fraction form
    35,673.64/53,510.22 = 27,889/x
  3. Step 3: Cross multiply
    35,673.64x = 53,510.22 × 27,889
  4. Step 4: Simplify right side
    35,673.64x = 1,492,346,525.58
  5. Step 5: Solve for x
    x = 1,492,346,525.58/35,673.64
  6. Step 6: Final answer
    x = 41,833.31

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