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Finding the Fourth Proportional to 30,714.54, 46,069.62 and 11,991.07

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Solution

The fourth proportional to 30,714.54, 46,069.62 and 11,991.07 is: 17,985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714.54 : 46,069.62 = 11,991.07 : x
  2. Step 2: Convert to fraction form
    30,714.54/46,069.62 = 11,991.07/x
  3. Step 3: Cross multiply
    30,714.54x = 46,069.62 × 11,991.07
  4. Step 4: Simplify right side
    30,714.54x = 552,424,038.29
  5. Step 5: Solve for x
    x = 552,424,038.29/30,714.54
  6. Step 6: Final answer
    x = 17,985.75

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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.