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Finding the Fourth Proportional to 30,924, 46,386 and 9,036

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Solution

The fourth proportional to 30,924, 46,386 and 9,036 is: 13,554

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,924 : 46,386 = 9,036 : x
  2. Step 2: Convert to fraction form
    30,924/46,386 = 9,036/x
  3. Step 3: Cross multiply
    30,924x = 46,386 × 9,036
  4. Step 4: Simplify right side
    30,924x = 419,143,896
  5. Step 5: Solve for x
    x = 419,143,896/30,924
  6. Step 6: Final answer
    x = 13,554

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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.