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Finding the Fourth Proportional to 38,642.33, 53,327.30 and 21,647.84

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Solution

The fourth proportional to 38,642.33, 53,327.30 and 21,647.84 is: 29,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,642.33 : 53,327.30 = 21,647.84 : x
  2. Step 2: Convert to fraction form
    38,642.33/53,327.30 = 21,647.84/x
  3. Step 3: Cross multiply
    38,642.33x = 53,327.30 × 21,647.84
  4. Step 4: Simplify right side
    38,642.33x = 1,154,420,483.16
  5. Step 5: Solve for x
    x = 1,154,420,483.16/38,642.33
  6. Step 6: Final answer
    x = 29,874.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.