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Finding the Fourth Proportional to 30,729.90, 42,404.67 and 17,300.10

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Solution

The fourth proportional to 30,729.90, 42,404.67 and 17,300.10 is: 23,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,729.90 : 42,404.67 = 17,300.10 : x
  2. Step 2: Convert to fraction form
    30,729.90/42,404.67 = 17,300.10/x
  3. Step 3: Cross multiply
    30,729.90x = 42,404.67 × 17,300.10
  4. Step 4: Simplify right side
    30,729.90x = 733,605,031.47
  5. Step 5: Solve for x
    x = 733,605,031.47/30,729.90
  6. Step 6: Final answer
    x = 23,872.68

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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.