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Finding the Fourth Proportional to 51,894.33, 71,587.98 and 30,369.93

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Solution

The fourth proportional to 51,894.33, 71,587.98 and 30,369.93 is: 41,895.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,894.33 : 71,587.98 = 30,369.93 : x
  2. Step 2: Convert to fraction form
    51,894.33/71,587.98 = 30,369.93/x
  3. Step 3: Cross multiply
    51,894.33x = 71,587.98 × 30,369.93
  4. Step 4: Simplify right side
    51,894.33x = 2,174,121,941.44
  5. Step 5: Solve for x
    x = 2,174,121,941.44/51,894.33
  6. Step 6: Final answer
    x = 41,895.17

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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.