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Finding the Fourth Proportional to 30,674.75, 46,000.46 and 14,023.10

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Solution

The fourth proportional to 30,674.75, 46,000.46 and 14,023.10 is: 21,029.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,674.75 : 46,000.46 = 14,023.10 : x
  2. Step 2: Convert to fraction form
    30,674.75/46,000.46 = 14,023.10/x
  3. Step 3: Cross multiply
    30,674.75x = 46,000.46 × 14,023.10
  4. Step 4: Simplify right side
    30,674.75x = 645,068,750.51
  5. Step 5: Solve for x
    x = 645,068,750.51/30,674.75
  6. Step 6: Final answer
    x = 21,029.31

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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.