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Finding the Fourth Proportional to 32,705.40, 49,058.30 and 11,646.26

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Solution

The fourth proportional to 32,705.40, 49,058.30 and 11,646.26 is: 17,469.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,705.40 : 49,058.30 = 11,646.26 : x
  2. Step 2: Convert to fraction form
    32,705.40/49,058.30 = 11,646.26/x
  3. Step 3: Cross multiply
    32,705.40x = 49,058.30 × 11,646.26
  4. Step 4: Simplify right side
    32,705.40x = 571,345,781.37
  5. Step 5: Solve for x
    x = 571,345,781.37/32,705.40
  6. Step 6: Final answer
    x = 17,469.46

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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.