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Finding the Fourth Proportional to 34,721, 52,090.32 and 10,097

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Solution

The fourth proportional to 34,721, 52,090.32 and 10,097 is: 15,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,721 : 52,090.32 = 10,097 : x
  2. Step 2: Convert to fraction form
    34,721/52,090.32 = 10,097/x
  3. Step 3: Cross multiply
    34,721x = 52,090.32 × 10,097
  4. Step 4: Simplify right side
    34,721x = 525,955,961.04
  5. Step 5: Solve for x
    x = 525,955,961.04/34,721
  6. Step 6: Final answer
    x = 15,148.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.