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Finding the Fourth Proportional to 30,674.50, 46,022.55 and 15,103.06

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Solution

The fourth proportional to 30,674.50, 46,022.55 and 15,103.06 is: 22,659.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,674.50 : 46,022.55 = 15,103.06 : x
  2. Step 2: Convert to fraction form
    30,674.50/46,022.55 = 15,103.06/x
  3. Step 3: Cross multiply
    30,674.50x = 46,022.55 × 15,103.06
  4. Step 4: Simplify right side
    30,674.50x = 695,081,334.00
  5. Step 5: Solve for x
    x = 695,081,334.00/30,674.50
  6. Step 6: Final answer
    x = 22,659.91

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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.