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Finding the Fourth Proportional to 49,577, 74,350.92 and 14,508.32

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Solution

The fourth proportional to 49,577, 74,350.92 and 14,508.32 is: 21,758.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,577 : 74,350.92 = 14,508.32 : x
  2. Step 2: Convert to fraction form
    49,577/74,350.92 = 14,508.32/x
  3. Step 3: Cross multiply
    49,577x = 74,350.92 × 14,508.32
  4. Step 4: Simplify right side
    49,577x = 1,078,706,939.65
  5. Step 5: Solve for x
    x = 1,078,706,939.65/49,577
  6. Step 6: Final answer
    x = 21,758.21

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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.