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Finding the Fourth Proportional to 43,505.10, 65,257.65 and 23,822.10

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Solution

The fourth proportional to 43,505.10, 65,257.65 and 23,822.10 is: 35,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,505.10 : 65,257.65 = 23,822.10 : x
  2. Step 2: Convert to fraction form
    43,505.10/65,257.65 = 23,822.10/x
  3. Step 3: Cross multiply
    43,505.10x = 65,257.65 × 23,822.10
  4. Step 4: Simplify right side
    43,505.10x = 1,554,574,264.07
  5. Step 5: Solve for x
    x = 1,554,574,264.07/43,505.10
  6. Step 6: Final answer
    x = 35,733.15

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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.