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Finding the Fourth Proportional to 71,543.88, 98,735.16 and 41,330.48

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Solution

The fourth proportional to 71,543.88, 98,735.16 and 41,330.48 is: 57,038.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,543.88 : 98,735.16 = 41,330.48 : x
  2. Step 2: Convert to fraction form
    71,543.88/98,735.16 = 41,330.48/x
  3. Step 3: Cross multiply
    71,543.88x = 98,735.16 × 41,330.48
  4. Step 4: Simplify right side
    71,543.88x = 4,080,771,555.68
  5. Step 5: Solve for x
    x = 4,080,771,555.68/71,543.88
  6. Step 6: Final answer
    x = 57,038.72

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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.