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Finding the Fourth Proportional to 35,262.16, 48,656.64 and 21,112

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Solution

The fourth proportional to 35,262.16, 48,656.64 and 21,112 is: 29,131.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,262.16 : 48,656.64 = 21,112 : x
  2. Step 2: Convert to fraction form
    35,262.16/48,656.64 = 21,112/x
  3. Step 3: Cross multiply
    35,262.16x = 48,656.64 × 21,112
  4. Step 4: Simplify right side
    35,262.16x = 1,027,238,983.68
  5. Step 5: Solve for x
    x = 1,027,238,983.68/35,262.16
  6. Step 6: Final answer
    x = 29,131.48

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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.