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Finding the Fourth Proportional to 30,969.63, 46,454.49 and 11,248.15

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Solution

The fourth proportional to 30,969.63, 46,454.49 and 11,248.15 is: 16,872.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.63 : 46,454.49 = 11,248.15 : x
  2. Step 2: Convert to fraction form
    30,969.63/46,454.49 = 11,248.15/x
  3. Step 3: Cross multiply
    30,969.63x = 46,454.49 × 11,248.15
  4. Step 4: Simplify right side
    30,969.63x = 522,527,071.69
  5. Step 5: Solve for x
    x = 522,527,071.69/30,969.63
  6. Step 6: Final answer
    x = 16,872.24

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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.