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Finding the Fourth Proportional to 92,821.47, 128,093.75 and 50,380

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Solution

The fourth proportional to 92,821.47, 128,093.75 and 50,380 is: 69,524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,821.47 : 128,093.75 = 50,380 : x
  2. Step 2: Convert to fraction form
    92,821.47/128,093.75 = 50,380/x
  3. Step 3: Cross multiply
    92,821.47x = 128,093.75 × 50,380
  4. Step 4: Simplify right side
    92,821.47x = 6,453,363,125
  5. Step 5: Solve for x
    x = 6,453,363,125/92,821.47
  6. Step 6: Final answer
    x = 69,524.47

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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.