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Finding the Fourth Proportional to 81,866.51, 112,975.59 and 46,056.51

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Solution

The fourth proportional to 81,866.51, 112,975.59 and 46,056.51 is: 63,557.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,866.51 : 112,975.59 = 46,056.51 : x
  2. Step 2: Convert to fraction form
    81,866.51/112,975.59 = 46,056.51/x
  3. Step 3: Cross multiply
    81,866.51x = 112,975.59 × 46,056.51
  4. Step 4: Simplify right side
    81,866.51x = 5,203,261,390.59
  5. Step 5: Solve for x
    x = 5,203,261,390.59/81,866.51
  6. Step 6: Final answer
    x = 63,557.87

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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.