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Finding the Fourth Proportional to 46,536.34, 69,763.20 and 16,948.66

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Solution

The fourth proportional to 46,536.34, 69,763.20 and 16,948.66 is: 25,407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,536.34 : 69,763.20 = 16,948.66 : x
  2. Step 2: Convert to fraction form
    46,536.34/69,763.20 = 16,948.66/x
  3. Step 3: Cross multiply
    46,536.34x = 69,763.20 × 16,948.66
  4. Step 4: Simplify right side
    46,536.34x = 1,182,392,757.31
  5. Step 5: Solve for x
    x = 1,182,392,757.31/46,536.34
  6. Step 6: Final answer
    x = 25,407.94

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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.