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Finding the Fourth Proportional to 35,156.88, 52,735.86 and 14,098.77

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Solution

The fourth proportional to 35,156.88, 52,735.86 and 14,098.77 is: 21,148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,156.88 : 52,735.86 = 14,098.77 : x
  2. Step 2: Convert to fraction form
    35,156.88/52,735.86 = 14,098.77/x
  3. Step 3: Cross multiply
    35,156.88x = 52,735.86 × 14,098.77
  4. Step 4: Simplify right side
    35,156.88x = 743,510,760.89
  5. Step 5: Solve for x
    x = 743,510,760.89/35,156.88
  6. Step 6: Final answer
    x = 21,148.37

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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.