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Finding the Fourth Proportional to 77,810.46, 116,708.49 and 21,651.42

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Solution

The fourth proportional to 77,810.46, 116,708.49 and 21,651.42 is: 32,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,810.46 : 116,708.49 = 21,651.42 : x
  2. Step 2: Convert to fraction form
    77,810.46/116,708.49 = 21,651.42/x
  3. Step 3: Cross multiply
    77,810.46x = 116,708.49 × 21,651.42
  4. Step 4: Simplify right side
    77,810.46x = 2,526,904,534.56
  5. Step 5: Solve for x
    x = 2,526,904,534.56/77,810.46
  6. Step 6: Final answer
    x = 32,475.13

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Why These Related Problems?

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