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Finding the Fourth Proportional to 35,970, 49,642.92 and 21,066

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Solution

The fourth proportional to 35,970, 49,642.92 and 21,066 is: 29,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,970 : 49,642.92 = 21,066 : x
  2. Step 2: Convert to fraction form
    35,970/49,642.92 = 21,066/x
  3. Step 3: Cross multiply
    35,970x = 49,642.92 × 21,066
  4. Step 4: Simplify right side
    35,970x = 1,045,777,752.72
  5. Step 5: Solve for x
    x = 1,045,777,752.72/35,970
  6. Step 6: Final answer
    x = 29,073.61

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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.