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Finding the Fourth Proportional to 46,393, 69,497.34 and 22,947.88

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Solution

The fourth proportional to 46,393, 69,497.34 and 22,947.88 is: 34,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,393 : 69,497.34 = 22,947.88 : x
  2. Step 2: Convert to fraction form
    46,393/69,497.34 = 22,947.88/x
  3. Step 3: Cross multiply
    46,393x = 69,497.34 × 22,947.88
  4. Step 4: Simplify right side
    46,393x = 1,594,816,618.64
  5. Step 5: Solve for x
    x = 1,594,816,618.64/46,393
  6. Step 6: Final answer
    x = 34,376.23

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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.