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Finding the Fourth Proportional to 34,549.31, 47,678.24 and 19,442.23

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Solution

The fourth proportional to 34,549.31, 47,678.24 and 19,442.23 is: 26,830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,549.31 : 47,678.24 = 19,442.23 : x
  2. Step 2: Convert to fraction form
    34,549.31/47,678.24 = 19,442.23/x
  3. Step 3: Cross multiply
    34,549.31x = 47,678.24 × 19,442.23
  4. Step 4: Simplify right side
    34,549.31x = 926,971,237.49
  5. Step 5: Solve for x
    x = 926,971,237.49/34,549.31
  6. Step 6: Final answer
    x = 26,830.38

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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.