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Finding the Fourth Proportional to 77,405.65, 106,818.40 and 43,414.20

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Solution

The fourth proportional to 77,405.65, 106,818.40 and 43,414.20 is: 59,910.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,405.65 : 106,818.40 = 43,414.20 : x
  2. Step 2: Convert to fraction form
    77,405.65/106,818.40 = 43,414.20/x
  3. Step 3: Cross multiply
    77,405.65x = 106,818.40 × 43,414.20
  4. Step 4: Simplify right side
    77,405.65x = 4,637,435,381.28
  5. Step 5: Solve for x
    x = 4,637,435,381.28/77,405.65
  6. Step 6: Final answer
    x = 59,910.82

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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.