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Finding the Fourth Proportional to 83,890.71, 115,769.16 and 46,164.96

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Solution

The fourth proportional to 83,890.71, 115,769.16 and 46,164.96 is: 63,707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,890.71 : 115,769.16 = 46,164.96 : x
  2. Step 2: Convert to fraction form
    83,890.71/115,769.16 = 46,164.96/x
  3. Step 3: Cross multiply
    83,890.71x = 115,769.16 × 46,164.96
  4. Step 4: Simplify right side
    83,890.71x = 5,344,478,640.63
  5. Step 5: Solve for x
    x = 5,344,478,640.63/83,890.71
  6. Step 6: Final answer
    x = 63,707.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.