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Finding the Fourth Proportional to 30,929, 46,431.74 and 29,296.04

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Solution

The fourth proportional to 30,929, 46,431.74 and 29,296.04 is: 43,980.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,929 : 46,431.74 = 29,296.04 : x
  2. Step 2: Convert to fraction form
    30,929/46,431.74 = 29,296.04/x
  3. Step 3: Cross multiply
    30,929x = 46,431.74 × 29,296.04
  4. Step 4: Simplify right side
    30,929x = 1,360,266,112.31
  5. Step 5: Solve for x
    x = 1,360,266,112.31/30,929
  6. Step 6: Final answer
    x = 43,980.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.