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Finding the Fourth Proportional to 35,617.44, 53,411.58 and 15,882.50

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Solution

The fourth proportional to 35,617.44, 53,411.58 and 15,882.50 is: 23,817.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,617.44 : 53,411.58 = 15,882.50 : x
  2. Step 2: Convert to fraction form
    35,617.44/53,411.58 = 15,882.50/x
  3. Step 3: Cross multiply
    35,617.44x = 53,411.58 × 15,882.50
  4. Step 4: Simplify right side
    35,617.44x = 848,309,419.35
  5. Step 5: Solve for x
    x = 848,309,419.35/35,617.44
  6. Step 6: Final answer
    x = 23,817.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.