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Finding the Fourth Proportional to 34,602.81, 51,885.76 and 17,921.47

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Solution

The fourth proportional to 34,602.81, 51,885.76 and 17,921.47 is: 26,872.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,602.81 : 51,885.76 = 17,921.47 : x
  2. Step 2: Convert to fraction form
    34,602.81/51,885.76 = 17,921.47/x
  3. Step 3: Cross multiply
    34,602.81x = 51,885.76 × 17,921.47
  4. Step 4: Simplify right side
    34,602.81x = 929,869,091.27
  5. Step 5: Solve for x
    x = 929,869,091.27/34,602.81
  6. Step 6: Final answer
    x = 26,872.65

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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.