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Finding the Fourth Proportional to 46,112, 69,168 and 16,531.64

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Solution

The fourth proportional to 46,112, 69,168 and 16,531.64 is: 24,797.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,112 : 69,168 = 16,531.64 : x
  2. Step 2: Convert to fraction form
    46,112/69,168 = 16,531.64/x
  3. Step 3: Cross multiply
    46,112x = 69,168 × 16,531.64
  4. Step 4: Simplify right side
    46,112x = 1,143,460,475.52
  5. Step 5: Solve for x
    x = 1,143,460,475.52/46,112
  6. Step 6: Final answer
    x = 24,797.46

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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.