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Finding the Fourth Proportional to 30,817.50, 42,529.67 and 18,881.49

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Solution

The fourth proportional to 30,817.50, 42,529.67 and 18,881.49 is: 26,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,817.50 : 42,529.67 = 18,881.49 : x
  2. Step 2: Convert to fraction form
    30,817.50/42,529.67 = 18,881.49/x
  3. Step 3: Cross multiply
    30,817.50x = 42,529.67 × 18,881.49
  4. Step 4: Simplify right side
    30,817.50x = 803,023,538.81
  5. Step 5: Solve for x
    x = 803,023,538.81/30,817.50
  6. Step 6: Final answer
    x = 26,057.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.