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Finding the Fourth Proportional to 73,009.34, 109,527.53 and 23,102

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Solution

The fourth proportional to 73,009.34, 109,527.53 and 23,102 is: 34,657.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,009.34 : 109,527.53 = 23,102 : x
  2. Step 2: Convert to fraction form
    73,009.34/109,527.53 = 23,102/x
  3. Step 3: Cross multiply
    73,009.34x = 109,527.53 × 23,102
  4. Step 4: Simplify right side
    73,009.34x = 2,530,304,998.06
  5. Step 5: Solve for x
    x = 2,530,304,998.06/73,009.34
  6. Step 6: Final answer
    x = 34,657.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.