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Finding the Fourth Proportional to 30,888, 42,628.32 and 17,640

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Solution

The fourth proportional to 30,888, 42,628.32 and 17,640 is: 24,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,888 : 42,628.32 = 17,640 : x
  2. Step 2: Convert to fraction form
    30,888/42,628.32 = 17,640/x
  3. Step 3: Cross multiply
    30,888x = 42,628.32 × 17,640
  4. Step 4: Simplify right side
    30,888x = 751,963,564.80
  5. Step 5: Solve for x
    x = 751,963,564.80/30,888
  6. Step 6: Final answer
    x = 24,344.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.