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Finding the Fourth Proportional to 71,140.91, 98,194.90 and 46,959.52

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Solution

The fourth proportional to 71,140.91, 98,194.90 and 46,959.52 is: 64,817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,140.91 : 98,194.90 = 46,959.52 : x
  2. Step 2: Convert to fraction form
    71,140.91/98,194.90 = 46,959.52/x
  3. Step 3: Cross multiply
    71,140.91x = 98,194.90 × 46,959.52
  4. Step 4: Simplify right side
    71,140.91x = 4,611,185,250.38
  5. Step 5: Solve for x
    x = 4,611,185,250.38/71,140.91
  6. Step 6: Final answer
    x = 64,817.64

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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.