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Finding the Fourth Proportional to 83,039.18, 114,561 and 51,152.72

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Solution

The fourth proportional to 83,039.18, 114,561 and 51,152.72 is: 70,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,039.18 : 114,561 = 51,152.72 : x
  2. Step 2: Convert to fraction form
    83,039.18/114,561 = 51,152.72/x
  3. Step 3: Cross multiply
    83,039.18x = 114,561 × 51,152.72
  4. Step 4: Simplify right side
    83,039.18x = 5,860,106,183.12
  5. Step 5: Solve for x
    x = 5,860,106,183.12/83,039.18
  6. Step 6: Final answer
    x = 70,570.38

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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.