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Finding the Fourth Proportional to 85,380, 117,824.16 and 49,590.72

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Solution

The fourth proportional to 85,380, 117,824.16 and 49,590.72 is: 68,435.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,380 : 117,824.16 = 49,590.72 : x
  2. Step 2: Convert to fraction form
    85,380/117,824.16 = 49,590.72/x
  3. Step 3: Cross multiply
    85,380x = 117,824.16 × 49,590.72
  4. Step 4: Simplify right side
    85,380x = 5,842,984,927.80
  5. Step 5: Solve for x
    x = 5,842,984,927.80/85,380
  6. Step 6: Final answer
    x = 68,435.05

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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.