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Finding the Fourth Proportional to 30,889.16, 42,627.04 and 16,742.02

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Solution

The fourth proportional to 30,889.16, 42,627.04 and 16,742.02 is: 23,103.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,889.16 : 42,627.04 = 16,742.02 : x
  2. Step 2: Convert to fraction form
    30,889.16/42,627.04 = 16,742.02/x
  3. Step 3: Cross multiply
    30,889.16x = 42,627.04 × 16,742.02
  4. Step 4: Simplify right side
    30,889.16x = 713,662,756.22
  5. Step 5: Solve for x
    x = 713,662,756.22/30,889.16
  6. Step 6: Final answer
    x = 23,103.99

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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.