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Finding the Fourth Proportional to 30,659, 42,314.54 and 23,194.04

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Solution

The fourth proportional to 30,659, 42,314.54 and 23,194.04 is: 32,011.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,659 : 42,314.54 = 23,194.04 : x
  2. Step 2: Convert to fraction form
    30,659/42,314.54 = 23,194.04/x
  3. Step 3: Cross multiply
    30,659x = 42,314.54 × 23,194.04
  4. Step 4: Simplify right side
    30,659x = 981,445,133.34
  5. Step 5: Solve for x
    x = 981,445,133.34/30,659
  6. Step 6: Final answer
    x = 32,011.65

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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.