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Finding the Fourth Proportional to 46,508.57, 69,762.85 and 13,676.57

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Solution

The fourth proportional to 46,508.57, 69,762.85 and 13,676.57 is: 20,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,508.57 : 69,762.85 = 13,676.57 : x
  2. Step 2: Convert to fraction form
    46,508.57/69,762.85 = 13,676.57/x
  3. Step 3: Cross multiply
    46,508.57x = 69,762.85 × 13,676.57
  4. Step 4: Simplify right side
    46,508.57x = 954,116,084.23
  5. Step 5: Solve for x
    x = 954,116,084.23/46,508.57
  6. Step 6: Final answer
    x = 20,514.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.