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Finding the Fourth Proportional to 82,759.95, 114,203.77 and 46,458.71

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Solution

The fourth proportional to 82,759.95, 114,203.77 and 46,458.71 is: 64,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,759.95 : 114,203.77 = 46,458.71 : x
  2. Step 2: Convert to fraction form
    82,759.95/114,203.77 = 46,458.71/x
  3. Step 3: Cross multiply
    82,759.95x = 114,203.77 × 46,458.71
  4. Step 4: Simplify right side
    82,759.95x = 5,305,760,476.16
  5. Step 5: Solve for x
    x = 5,305,760,476.16/82,759.95
  6. Step 6: Final answer
    x = 64,110.24

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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.