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Finding the Fourth Proportional to 34,206.42, 51,309.63 and 24,905.63

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Solution

The fourth proportional to 34,206.42, 51,309.63 and 24,905.63 is: 37,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,206.42 : 51,309.63 = 24,905.63 : x
  2. Step 2: Convert to fraction form
    34,206.42/51,309.63 = 24,905.63/x
  3. Step 3: Cross multiply
    34,206.42x = 51,309.63 × 24,905.63
  4. Step 4: Simplify right side
    34,206.42x = 1,277,898,660.22
  5. Step 5: Solve for x
    x = 1,277,898,660.22/34,206.42
  6. Step 6: Final answer
    x = 37,358.45

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