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Finding the Fourth Proportional to 30,294, 41,805.72 and 17,046

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Solution

The fourth proportional to 30,294, 41,805.72 and 17,046 is: 23,523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294 : 41,805.72 = 17,046 : x
  2. Step 2: Convert to fraction form
    30,294/41,805.72 = 17,046/x
  3. Step 3: Cross multiply
    30,294x = 41,805.72 × 17,046
  4. Step 4: Simplify right side
    30,294x = 712,620,303.12
  5. Step 5: Solve for x
    x = 712,620,303.12/30,294
  6. Step 6: Final answer
    x = 23,523.48

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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.