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Finding the Fourth Proportional to 38,329.96, 52,894.74 and 21,334

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Solution

The fourth proportional to 38,329.96, 52,894.74 and 21,334 is: 29,440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,329.96 : 52,894.74 = 21,334 : x
  2. Step 2: Convert to fraction form
    38,329.96/52,894.74 = 21,334/x
  3. Step 3: Cross multiply
    38,329.96x = 52,894.74 × 21,334
  4. Step 4: Simplify right side
    38,329.96x = 1,128,456,383.16
  5. Step 5: Solve for x
    x = 1,128,456,383.16/38,329.96
  6. Step 6: Final answer
    x = 29,440.58

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