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Finding the Fourth Proportional to 30,769.32, 42,461.64 and 17,343.84

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Solution

The fourth proportional to 30,769.32, 42,461.64 and 17,343.84 is: 23,934.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.32 : 42,461.64 = 17,343.84 : x
  2. Step 2: Convert to fraction form
    30,769.32/42,461.64 = 17,343.84/x
  3. Step 3: Cross multiply
    30,769.32x = 42,461.64 × 17,343.84
  4. Step 4: Simplify right side
    30,769.32x = 736,447,890.30
  5. Step 5: Solve for x
    x = 736,447,890.30/30,769.32
  6. Step 6: Final answer
    x = 23,934.49

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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.