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Finding the Fourth Proportional to 38,261.34, 52,832.51 and 31,921.17

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Solution

The fourth proportional to 38,261.34, 52,832.51 and 31,921.17 is: 44,077.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,261.34 : 52,832.51 = 31,921.17 : x
  2. Step 2: Convert to fraction form
    38,261.34/52,832.51 = 31,921.17/x
  3. Step 3: Cross multiply
    38,261.34x = 52,832.51 × 31,921.17
  4. Step 4: Simplify right side
    38,261.34x = 1,686,475,373.63
  5. Step 5: Solve for x
    x = 1,686,475,373.63/38,261.34
  6. Step 6: Final answer
    x = 44,077.79

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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.