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Finding the Fourth Proportional to 35,149.62, 52,741.74 and 16,430.94

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Solution

The fourth proportional to 35,149.62, 52,741.74 and 16,430.94 is: 24,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,149.62 : 52,741.74 = 16,430.94 : x
  2. Step 2: Convert to fraction form
    35,149.62/52,741.74 = 16,430.94/x
  3. Step 3: Cross multiply
    35,149.62x = 52,741.74 × 16,430.94
  4. Step 4: Simplify right side
    35,149.62x = 866,596,365.44
  5. Step 5: Solve for x
    x = 866,596,365.44/35,149.62
  6. Step 6: Final answer
    x = 24,654.50

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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.