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Finding the Fourth Proportional to 83,873.81, 115,745.86 and 46,148.06

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Solution

The fourth proportional to 83,873.81, 115,745.86 and 46,148.06 is: 63,684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,873.81 : 115,745.86 = 46,148.06 : x
  2. Step 2: Convert to fraction form
    83,873.81/115,745.86 = 46,148.06/x
  3. Step 3: Cross multiply
    83,873.81x = 115,745.86 × 46,148.06
  4. Step 4: Simplify right side
    83,873.81x = 5,341,447,239.08
  5. Step 5: Solve for x
    x = 5,341,447,239.08/83,873.81
  6. Step 6: Final answer
    x = 63,684.33

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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.