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Finding the Fourth Proportional to 29,114.96, 43,677.40 and 10,646.80

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Solution

The fourth proportional to 29,114.96, 43,677.40 and 10,646.80 is: 15,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,114.96 : 43,677.40 = 10,646.80 : x
  2. Step 2: Convert to fraction form
    29,114.96/43,677.40 = 10,646.80/x
  3. Step 3: Cross multiply
    29,114.96x = 43,677.40 × 10,646.80
  4. Step 4: Simplify right side
    29,114.96x = 465,024,542.32
  5. Step 5: Solve for x
    x = 465,024,542.32/29,114.96
  6. Step 6: Final answer
    x = 15,972.01

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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.