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Finding the Fourth Proportional to 76,702.68, 105,842.16 and 44,865.36

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Solution

The fourth proportional to 76,702.68, 105,842.16 and 44,865.36 is: 61,909.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,702.68 : 105,842.16 = 44,865.36 : x
  2. Step 2: Convert to fraction form
    76,702.68/105,842.16 = 44,865.36/x
  3. Step 3: Cross multiply
    76,702.68x = 105,842.16 × 44,865.36
  4. Step 4: Simplify right side
    76,702.68x = 4,748,646,611.58
  5. Step 5: Solve for x
    x = 4,748,646,611.58/76,702.68
  6. Step 6: Final answer
    x = 61,909.79

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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.