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Finding the Fourth Proportional to 43,419.34, 65,133.76 and 13,830.22

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Solution

The fourth proportional to 43,419.34, 65,133.76 and 13,830.22 is: 20,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,419.34 : 65,133.76 = 13,830.22 : x
  2. Step 2: Convert to fraction form
    43,419.34/65,133.76 = 13,830.22/x
  3. Step 3: Cross multiply
    43,419.34x = 65,133.76 × 13,830.22
  4. Step 4: Simplify right side
    43,419.34x = 900,814,230.23
  5. Step 5: Solve for x
    x = 900,814,230.23/43,419.34
  6. Step 6: Final answer
    x = 20,746.84

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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.