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Finding the Fourth Proportional to 35,881.50, 53,835.21 and 11,257.50

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Solution

The fourth proportional to 35,881.50, 53,835.21 and 11,257.50 is: 16,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,881.50 : 53,835.21 = 11,257.50 : x
  2. Step 2: Convert to fraction form
    35,881.50/53,835.21 = 11,257.50/x
  3. Step 3: Cross multiply
    35,881.50x = 53,835.21 × 11,257.50
  4. Step 4: Simplify right side
    35,881.50x = 606,049,876.58
  5. Step 5: Solve for x
    x = 606,049,876.58/35,881.50
  6. Step 6: Final answer
    x = 16,890.32

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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.