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Finding the Fourth Proportional to 43,965.30, 65,966.16 and 24,242.16

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Solution

The fourth proportional to 43,965.30, 65,966.16 and 24,242.16 is: 36,373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,965.30 : 65,966.16 = 24,242.16 : x
  2. Step 2: Convert to fraction form
    43,965.30/65,966.16 = 24,242.16/x
  3. Step 3: Cross multiply
    43,965.30x = 65,966.16 × 24,242.16
  4. Step 4: Simplify right side
    43,965.30x = 1,599,162,205.31
  5. Step 5: Solve for x
    x = 1,599,162,205.31/43,965.30
  6. Step 6: Final answer
    x = 36,373.28

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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.