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Finding the Fourth Proportional to 30,908.50, 46,370.52 and 14,280.30

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Solution

The fourth proportional to 30,908.50, 46,370.52 and 14,280.30 is: 21,424.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,908.50 : 46,370.52 = 14,280.30 : x
  2. Step 2: Convert to fraction form
    30,908.50/46,370.52 = 14,280.30/x
  3. Step 3: Cross multiply
    30,908.50x = 46,370.52 × 14,280.30
  4. Step 4: Simplify right side
    30,908.50x = 662,184,936.76
  5. Step 5: Solve for x
    x = 662,184,936.76/30,908.50
  6. Step 6: Final answer
    x = 21,424.04

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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.