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Finding the Fourth Proportional to 66,657.26, 91,830.66 and 46,477.46

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Solution

The fourth proportional to 66,657.26, 91,830.66 and 46,477.46 is: 64,029.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,657.26 : 91,830.66 = 46,477.46 : x
  2. Step 2: Convert to fraction form
    66,657.26/91,830.66 = 46,477.46/x
  3. Step 3: Cross multiply
    66,657.26x = 91,830.66 × 46,477.46
  4. Step 4: Simplify right side
    66,657.26x = 4,268,055,826.92
  5. Step 5: Solve for x
    x = 4,268,055,826.92/66,657.26
  6. Step 6: Final answer
    x = 64,029.87

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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.