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Finding the Fourth Proportional to 76,489.41, 105,539.15 and 44,643.96

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Solution

The fourth proportional to 76,489.41, 105,539.15 and 44,643.96 is: 61,599.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,489.41 : 105,539.15 = 44,643.96 : x
  2. Step 2: Convert to fraction form
    76,489.41/105,539.15 = 44,643.96/x
  3. Step 3: Cross multiply
    76,489.41x = 105,539.15 × 44,643.96
  4. Step 4: Simplify right side
    76,489.41x = 4,711,685,702.64
  5. Step 5: Solve for x
    x = 4,711,685,702.64/76,489.41
  6. Step 6: Final answer
    x = 61,599.19

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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.