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Finding the Fourth Proportional to 46,380, 69,477.84 and 22,934.88

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Solution

The fourth proportional to 46,380, 69,477.84 and 22,934.88 is: 34,356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,380 : 69,477.84 = 22,934.88 : x
  2. Step 2: Convert to fraction form
    46,380/69,477.84 = 22,934.88/x
  3. Step 3: Cross multiply
    46,380x = 69,477.84 × 22,934.88
  4. Step 4: Simplify right side
    46,380x = 1,593,465,923.06
  5. Step 5: Solve for x
    x = 1,593,465,923.06/46,380
  6. Step 6: Final answer
    x = 34,356.75

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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.