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Finding the Fourth Proportional to 30,792.84, 46,159.56 and 14,164.26

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Solution

The fourth proportional to 30,792.84, 46,159.56 and 14,164.26 is: 21,232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,792.84 : 46,159.56 = 14,164.26 : x
  2. Step 2: Convert to fraction form
    30,792.84/46,159.56 = 14,164.26/x
  3. Step 3: Cross multiply
    30,792.84x = 46,159.56 × 14,164.26
  4. Step 4: Simplify right side
    30,792.84x = 653,816,009.33
  5. Step 5: Solve for x
    x = 653,816,009.33/30,792.84
  6. Step 6: Final answer
    x = 21,232.73

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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.