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Finding the Fourth Proportional to 120,588, 180,897.36 and 33,036

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Solution

The fourth proportional to 120,588, 180,897.36 and 33,036 is: 49,558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,588 : 180,897.36 = 33,036 : x
  2. Step 2: Convert to fraction form
    120,588/180,897.36 = 33,036/x
  3. Step 3: Cross multiply
    120,588x = 180,897.36 × 33,036
  4. Step 4: Simplify right side
    120,588x = 5,976,125,184.96
  5. Step 5: Solve for x
    x = 5,976,125,184.96/120,588
  6. Step 6: Final answer
    x = 49,558.21

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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.