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Finding the Fourth Proportional to 32,756.34, 45,189.74 and 21,406.14

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Solution

The fourth proportional to 32,756.34, 45,189.74 and 21,406.14 is: 29,531.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,756.34 : 45,189.74 = 21,406.14 : x
  2. Step 2: Convert to fraction form
    32,756.34/45,189.74 = 21,406.14/x
  3. Step 3: Cross multiply
    32,756.34x = 45,189.74 × 21,406.14
  4. Step 4: Simplify right side
    32,756.34x = 967,337,675.05
  5. Step 5: Solve for x
    x = 967,337,675.05/32,756.34
  6. Step 6: Final answer
    x = 29,531.31

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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.