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Finding the Fourth Proportional to 76,213.58, 105,173.31 and 46,000.17

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Solution

The fourth proportional to 76,213.58, 105,173.31 and 46,000.17 is: 63,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,213.58 : 105,173.31 = 46,000.17 : x
  2. Step 2: Convert to fraction form
    76,213.58/105,173.31 = 46,000.17/x
  3. Step 3: Cross multiply
    76,213.58x = 105,173.31 × 46,000.17
  4. Step 4: Simplify right side
    76,213.58x = 4,837,990,182.59
  5. Step 5: Solve for x
    x = 4,837,990,182.59/76,213.58
  6. Step 6: Final answer
    x = 63,479.38

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Why These Related Problems?

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