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Finding the Fourth Proportional to 34,473.87, 51,710.94 and 22,784.49

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Solution

The fourth proportional to 34,473.87, 51,710.94 and 22,784.49 is: 34,176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,473.87 : 51,710.94 = 22,784.49 : x
  2. Step 2: Convert to fraction form
    34,473.87/51,710.94 = 22,784.49/x
  3. Step 3: Cross multiply
    34,473.87x = 51,710.94 × 22,784.49
  4. Step 4: Simplify right side
    34,473.87x = 1,178,207,395.32
  5. Step 5: Solve for x
    x = 1,178,207,395.32/34,473.87
  6. Step 6: Final answer
    x = 34,176.82

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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.