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Finding the Fourth Proportional to 28,489.40, 42,734.10 and 16,201.40

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Solution

The fourth proportional to 28,489.40, 42,734.10 and 16,201.40 is: 24,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,489.40 : 42,734.10 = 16,201.40 : x
  2. Step 2: Convert to fraction form
    28,489.40/42,734.10 = 16,201.40/x
  3. Step 3: Cross multiply
    28,489.40x = 42,734.10 × 16,201.40
  4. Step 4: Simplify right side
    28,489.40x = 692,352,247.74
  5. Step 5: Solve for x
    x = 692,352,247.74/28,489.40
  6. Step 6: Final answer
    x = 24,302.10

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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.