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Finding the Fourth Proportional to 30,970.15, 46,462.11 and 12,252.06

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Solution

The fourth proportional to 30,970.15, 46,462.11 and 12,252.06 is: 18,380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.15 : 46,462.11 = 12,252.06 : x
  2. Step 2: Convert to fraction form
    30,970.15/46,462.11 = 12,252.06/x
  3. Step 3: Cross multiply
    30,970.15x = 46,462.11 × 12,252.06
  4. Step 4: Simplify right side
    30,970.15x = 569,256,513.50
  5. Step 5: Solve for x
    x = 569,256,513.50/30,970.15
  6. Step 6: Final answer
    x = 18,380.81

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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.