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Finding the Fourth Proportional to 33,237.64, 49,856.46 and 26,317

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Solution

The fourth proportional to 33,237.64, 49,856.46 and 26,317 is: 39,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,237.64 : 49,856.46 = 26,317 : x
  2. Step 2: Convert to fraction form
    33,237.64/49,856.46 = 26,317/x
  3. Step 3: Cross multiply
    33,237.64x = 49,856.46 × 26,317
  4. Step 4: Simplify right side
    33,237.64x = 1,312,072,457.82
  5. Step 5: Solve for x
    x = 1,312,072,457.82/33,237.64
  6. Step 6: Final answer
    x = 39,475.50

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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.