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Finding the Fourth Proportional to 30,674.16, 42,348.42 and 28,902.69

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Solution

The fourth proportional to 30,674.16, 42,348.42 and 28,902.69 is: 39,902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,674.16 : 42,348.42 = 28,902.69 : x
  2. Step 2: Convert to fraction form
    30,674.16/42,348.42 = 28,902.69/x
  3. Step 3: Cross multiply
    30,674.16x = 42,348.42 × 28,902.69
  4. Step 4: Simplify right side
    30,674.16x = 1,223,983,255.25
  5. Step 5: Solve for x
    x = 1,223,983,255.25/30,674.16
  6. Step 6: Final answer
    x = 39,902.75

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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.