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Finding the Fourth Proportional to 30,764.62, 46,114.53 and 15,957.82

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Solution

The fourth proportional to 30,764.62, 46,114.53 and 15,957.82 is: 23,919.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,764.62 : 46,114.53 = 15,957.82 : x
  2. Step 2: Convert to fraction form
    30,764.62/46,114.53 = 15,957.82/x
  3. Step 3: Cross multiply
    30,764.62x = 46,114.53 × 15,957.82
  4. Step 4: Simplify right side
    30,764.62x = 735,887,369.12
  5. Step 5: Solve for x
    x = 735,887,369.12/30,764.62
  6. Step 6: Final answer
    x = 23,919.92

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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.