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Finding the Fourth Proportional to 77,965.68, 116,941.23 and 21,810.84

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Solution

The fourth proportional to 77,965.68, 116,941.23 and 21,810.84 is: 32,714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,965.68 : 116,941.23 = 21,810.84 : x
  2. Step 2: Convert to fraction form
    77,965.68/116,941.23 = 21,810.84/x
  3. Step 3: Cross multiply
    77,965.68x = 116,941.23 × 21,810.84
  4. Step 4: Simplify right side
    77,965.68x = 2,550,586,456.93
  5. Step 5: Solve for x
    x = 2,550,586,456.93/77,965.68
  6. Step 6: Final answer
    x = 32,714.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.