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Finding the Fourth Proportional to 30,058.88, 45,092.64 and 9,284

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Solution

The fourth proportional to 30,058.88, 45,092.64 and 9,284 is: 13,927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,058.88 : 45,092.64 = 9,284 : x
  2. Step 2: Convert to fraction form
    30,058.88/45,092.64 = 9,284/x
  3. Step 3: Cross multiply
    30,058.88x = 45,092.64 × 9,284
  4. Step 4: Simplify right side
    30,058.88x = 418,640,069.76
  5. Step 5: Solve for x
    x = 418,640,069.76/30,058.88
  6. Step 6: Final answer
    x = 13,927.33

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Why These Related Problems?

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