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Finding the Fourth Proportional to 34,107.30, 51,270.30 and 24,314.40

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Solution

The fourth proportional to 34,107.30, 51,270.30 and 24,314.40 is: 36,549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,107.30 : 51,270.30 = 24,314.40 : x
  2. Step 2: Convert to fraction form
    34,107.30/51,270.30 = 24,314.40/x
  3. Step 3: Cross multiply
    34,107.30x = 51,270.30 × 24,314.40
  4. Step 4: Simplify right side
    34,107.30x = 1,246,606,582.32
  5. Step 5: Solve for x
    x = 1,246,606,582.32/34,107.30
  6. Step 6: Final answer
    x = 36,549.55

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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.