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Finding the Fourth Proportional to 30,805.17, 46,207.77 and 13,031.22

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Solution

The fourth proportional to 30,805.17, 46,207.77 and 13,031.22 is: 19,546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,805.17 : 46,207.77 = 13,031.22 : x
  2. Step 2: Convert to fraction form
    30,805.17/46,207.77 = 13,031.22/x
  3. Step 3: Cross multiply
    30,805.17x = 46,207.77 × 13,031.22
  4. Step 4: Simplify right side
    30,805.17x = 602,143,616.58
  5. Step 5: Solve for x
    x = 602,143,616.58/30,805.17
  6. Step 6: Final answer
    x = 19,546.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.