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Finding the Fourth Proportional to 35,988, 49,670.16 and 21,084

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Solution

The fourth proportional to 35,988, 49,670.16 and 21,084 is: 29,099.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,988 : 49,670.16 = 21,084 : x
  2. Step 2: Convert to fraction form
    35,988/49,670.16 = 21,084/x
  3. Step 3: Cross multiply
    35,988x = 49,670.16 × 21,084
  4. Step 4: Simplify right side
    35,988x = 1,047,245,653.44
  5. Step 5: Solve for x
    x = 1,047,245,653.44/35,988
  6. Step 6: Final answer
    x = 29,099.86

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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.