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Finding the Fourth Proportional to 34,389.96, 47,461.02 and 19,282.38

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Solution

The fourth proportional to 34,389.96, 47,461.02 and 19,282.38 is: 26,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,389.96 : 47,461.02 = 19,282.38 : x
  2. Step 2: Convert to fraction form
    34,389.96/47,461.02 = 19,282.38/x
  3. Step 3: Cross multiply
    34,389.96x = 47,461.02 × 19,282.38
  4. Step 4: Simplify right side
    34,389.96x = 915,161,422.83
  5. Step 5: Solve for x
    x = 915,161,422.83/34,389.96
  6. Step 6: Final answer
    x = 26,611.30

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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.