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Finding the Fourth Proportional to 71,646.94, 98,842.09 and 44,742.74

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Solution

The fourth proportional to 71,646.94, 98,842.09 and 44,742.74 is: 61,725.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,646.94 : 98,842.09 = 44,742.74 : x
  2. Step 2: Convert to fraction form
    71,646.94/98,842.09 = 44,742.74/x
  3. Step 3: Cross multiply
    71,646.94x = 98,842.09 × 44,742.74
  4. Step 4: Simplify right side
    71,646.94x = 4,422,465,933.93
  5. Step 5: Solve for x
    x = 4,422,465,933.93/71,646.94
  6. Step 6: Final answer
    x = 61,725.82

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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.