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Finding the Fourth Proportional to 31,308, 46,962 and 10,531.50

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Solution

The fourth proportional to 31,308, 46,962 and 10,531.50 is: 15,797.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,308 : 46,962 = 10,531.50 : x
  2. Step 2: Convert to fraction form
    31,308/46,962 = 10,531.50/x
  3. Step 3: Cross multiply
    31,308x = 46,962 × 10,531.50
  4. Step 4: Simplify right side
    31,308x = 494,580,303
  5. Step 5: Solve for x
    x = 494,580,303/31,308
  6. Step 6: Final answer
    x = 15,797.25

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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.