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Finding the Fourth Proportional to 30,812.40, 46,267.20 and 17,690.40

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Solution

The fourth proportional to 30,812.40, 46,267.20 and 17,690.40 is: 26,563.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,812.40 : 46,267.20 = 17,690.40 : x
  2. Step 2: Convert to fraction form
    30,812.40/46,267.20 = 17,690.40/x
  3. Step 3: Cross multiply
    30,812.40x = 46,267.20 × 17,690.40
  4. Step 4: Simplify right side
    30,812.40x = 818,485,274.88
  5. Step 5: Solve for x
    x = 818,485,274.88/30,812.40
  6. Step 6: Final answer
    x = 26,563.50

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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.