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Finding the Fourth Proportional to 76,859.10, 106,049.43 and 46,660.32

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Solution

The fourth proportional to 76,859.10, 106,049.43 and 46,660.32 is: 64,381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,859.10 : 106,049.43 = 46,660.32 : x
  2. Step 2: Convert to fraction form
    76,859.10/106,049.43 = 46,660.32/x
  3. Step 3: Cross multiply
    76,859.10x = 106,049.43 × 46,660.32
  4. Step 4: Simplify right side
    76,859.10x = 4,948,300,339.62
  5. Step 5: Solve for x
    x = 4,948,300,339.62/76,859.10
  6. Step 6: Final answer
    x = 64,381.45

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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.