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Finding the Fourth Proportional to 117,826.66, 176,625.66 and 46,726

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Solution

The fourth proportional to 117,826.66, 176,625.66 and 46,726 is: 70,043.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,826.66 : 176,625.66 = 46,726 : x
  2. Step 2: Convert to fraction form
    117,826.66/176,625.66 = 46,726/x
  3. Step 3: Cross multiply
    117,826.66x = 176,625.66 × 46,726
  4. Step 4: Simplify right side
    117,826.66x = 8,253,010,589.16
  5. Step 5: Solve for x
    x = 8,253,010,589.16/117,826.66
  6. Step 6: Final answer
    x = 70,043.66

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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.