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Finding the Fourth Proportional to 38,256.40, 52,792.77 and 21,260.21

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Solution

The fourth proportional to 38,256.40, 52,792.77 and 21,260.21 is: 29,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,256.40 : 52,792.77 = 21,260.21 : x
  2. Step 2: Convert to fraction form
    38,256.40/52,792.77 = 21,260.21/x
  3. Step 3: Cross multiply
    38,256.40x = 52,792.77 × 21,260.21
  4. Step 4: Simplify right side
    38,256.40x = 1,122,385,376.68
  5. Step 5: Solve for x
    x = 1,122,385,376.68/38,256.40
  6. Step 6: Final answer
    x = 29,338.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.