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Finding the Fourth Proportional to 83,292.30, 114,941.91 and 51,021.90

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Solution

The fourth proportional to 83,292.30, 114,941.91 and 51,021.90 is: 70,409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,292.30 : 114,941.91 = 51,021.90 : x
  2. Step 2: Convert to fraction form
    83,292.30/114,941.91 = 51,021.90/x
  3. Step 3: Cross multiply
    83,292.30x = 114,941.91 × 51,021.90
  4. Step 4: Simplify right side
    83,292.30x = 5,864,554,637.83
  5. Step 5: Solve for x
    x = 5,864,554,637.83/83,292.30
  6. Step 6: Final answer
    x = 70,409.33

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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.