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Finding the Fourth Proportional to 30,932, 46,405.68 and 9,044

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Solution

The fourth proportional to 30,932, 46,405.68 and 9,044 is: 13,568.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,932 : 46,405.68 = 9,044 : x
  2. Step 2: Convert to fraction form
    30,932/46,405.68 = 9,044/x
  3. Step 3: Cross multiply
    30,932x = 46,405.68 × 9,044
  4. Step 4: Simplify right side
    30,932x = 419,692,969.92
  5. Step 5: Solve for x
    x = 419,692,969.92/30,932
  6. Step 6: Final answer
    x = 13,568.25

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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.