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Finding the Fourth Proportional to 29,822.34, 41,154.91 and 17,075.71

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Solution

The fourth proportional to 29,822.34, 41,154.91 and 17,075.71 is: 23,564.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,822.34 : 41,154.91 = 17,075.71 : x
  2. Step 2: Convert to fraction form
    29,822.34/41,154.91 = 17,075.71/x
  3. Step 3: Cross multiply
    29,822.34x = 41,154.91 × 17,075.71
  4. Step 4: Simplify right side
    29,822.34x = 702,749,265.55
  5. Step 5: Solve for x
    x = 702,749,265.55/29,822.34
  6. Step 6: Final answer
    x = 23,564.53

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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.