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Finding the Fourth Proportional to 33,058.10, 49,587.14 and 9,684.53

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Solution

The fourth proportional to 33,058.10, 49,587.14 and 9,684.53 is: 14,526.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,058.10 : 49,587.14 = 9,684.53 : x
  2. Step 2: Convert to fraction form
    33,058.10/49,587.14 = 9,684.53/x
  3. Step 3: Cross multiply
    33,058.10x = 49,587.14 × 9,684.53
  4. Step 4: Simplify right side
    33,058.10x = 480,228,293.12
  5. Step 5: Solve for x
    x = 480,228,293.12/33,058.10
  6. Step 6: Final answer
    x = 14,526.80

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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.