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Finding the Fourth Proportional to 71,349, 98,461.64 and 41,541

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Solution

The fourth proportional to 71,349, 98,461.64 and 41,541 is: 57,326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,349 : 98,461.64 = 41,541 : x
  2. Step 2: Convert to fraction form
    71,349/98,461.64 = 41,541/x
  3. Step 3: Cross multiply
    71,349x = 98,461.64 × 41,541
  4. Step 4: Simplify right side
    71,349x = 4,090,194,987.24
  5. Step 5: Solve for x
    x = 4,090,194,987.24/71,349
  6. Step 6: Final answer
    x = 57,326.59

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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.