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Finding the Fourth Proportional to 35,898.75, 53,856.81 and 11,274.75

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Solution

The fourth proportional to 35,898.75, 53,856.81 and 11,274.75 is: 16,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,898.75 : 53,856.81 = 11,274.75 : x
  2. Step 2: Convert to fraction form
    35,898.75/53,856.81 = 11,274.75/x
  3. Step 3: Cross multiply
    35,898.75x = 53,856.81 × 11,274.75
  4. Step 4: Simplify right side
    35,898.75x = 607,222,068.55
  5. Step 5: Solve for x
    x = 607,222,068.55/35,898.75
  6. Step 6: Final answer
    x = 16,914.85

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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.