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Finding the Fourth Proportional to 83,751, 115,576.44 and 46,025.52

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Solution

The fourth proportional to 83,751, 115,576.44 and 46,025.52 is: 63,515.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,751 : 115,576.44 = 46,025.52 : x
  2. Step 2: Convert to fraction form
    83,751/115,576.44 = 46,025.52/x
  3. Step 3: Cross multiply
    83,751x = 115,576.44 × 46,025.52
  4. Step 4: Simplify right side
    83,751x = 5,319,465,750.75
  5. Step 5: Solve for x
    x = 5,319,465,750.75/83,751
  6. Step 6: Final answer
    x = 63,515.25

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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.