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Finding the Fourth Proportional to 43,114.40, 64,671.47 and 13,534.44

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Solution

The fourth proportional to 43,114.40, 64,671.47 and 13,534.44 is: 20,301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,114.40 : 64,671.47 = 13,534.44 : x
  2. Step 2: Convert to fraction form
    43,114.40/64,671.47 = 13,534.44/x
  3. Step 3: Cross multiply
    43,114.40x = 64,671.47 × 13,534.44
  4. Step 4: Simplify right side
    43,114.40x = 875,292,062.75
  5. Step 5: Solve for x
    x = 875,292,062.75/43,114.40
  6. Step 6: Final answer
    x = 20,301.62

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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.