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Finding the Fourth Proportional to 30,874.65, 46,311.84 and 7,501.16

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Solution

The fourth proportional to 30,874.65, 46,311.84 and 7,501.16 is: 11,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.65 : 46,311.84 = 7,501.16 : x
  2. Step 2: Convert to fraction form
    30,874.65/46,311.84 = 7,501.16/x
  3. Step 3: Cross multiply
    30,874.65x = 46,311.84 × 7,501.16
  4. Step 4: Simplify right side
    30,874.65x = 347,392,290.18
  5. Step 5: Solve for x
    x = 347,392,290.18/30,874.65
  6. Step 6: Final answer
    x = 11,251.70

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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.