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Finding the Fourth Proportional to 35,295.96, 52,962.42 and 14,241.24

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Solution

The fourth proportional to 35,295.96, 52,962.42 and 14,241.24 is: 21,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,295.96 : 52,962.42 = 14,241.24 : x
  2. Step 2: Convert to fraction form
    35,295.96/52,962.42 = 14,241.24/x
  3. Step 3: Cross multiply
    35,295.96x = 52,962.42 × 14,241.24
  4. Step 4: Simplify right side
    35,295.96x = 754,250,534.20
  5. Step 5: Solve for x
    x = 754,250,534.20/35,295.96
  6. Step 6: Final answer
    x = 21,369.32

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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.