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Finding the Fourth Proportional to 46,443.44, 69,655.84 and 22,740.78

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Solution

The fourth proportional to 46,443.44, 69,655.84 and 22,740.78 is: 34,106.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,443.44 : 69,655.84 = 22,740.78 : x
  2. Step 2: Convert to fraction form
    46,443.44/69,655.84 = 22,740.78/x
  3. Step 3: Cross multiply
    46,443.44x = 69,655.84 × 22,740.78
  4. Step 4: Simplify right side
    46,443.44x = 1,584,028,133.16
  5. Step 5: Solve for x
    x = 1,584,028,133.16/46,443.44
  6. Step 6: Final answer
    x = 34,106.61

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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.