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Finding the Fourth Proportional to 46,170.38, 63,714.94 and 24,949.60

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Solution

The fourth proportional to 46,170.38, 63,714.94 and 24,949.60 is: 34,430.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,170.38 : 63,714.94 = 24,949.60 : x
  2. Step 2: Convert to fraction form
    46,170.38/63,714.94 = 24,949.60/x
  3. Step 3: Cross multiply
    46,170.38x = 63,714.94 × 24,949.60
  4. Step 4: Simplify right side
    46,170.38x = 1,589,662,045.36
  5. Step 5: Solve for x
    x = 1,589,662,045.36/46,170.38
  6. Step 6: Final answer
    x = 34,430.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.