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Finding the Fourth Proportional to 30,075.27, 41,507 and 17,328.97

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Solution

The fourth proportional to 30,075.27, 41,507 and 17,328.97 is: 23,915.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,075.27 : 41,507 = 17,328.97 : x
  2. Step 2: Convert to fraction form
    30,075.27/41,507 = 17,328.97/x
  3. Step 3: Cross multiply
    30,075.27x = 41,507 × 17,328.97
  4. Step 4: Simplify right side
    30,075.27x = 719,273,557.79
  5. Step 5: Solve for x
    x = 719,273,557.79/30,075.27
  6. Step 6: Final answer
    x = 23,915.78

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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.