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Finding the Fourth Proportional to 71,001.64, 97,977.40 and 39,171.07

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Solution

The fourth proportional to 71,001.64, 97,977.40 and 39,171.07 is: 54,053.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,001.64 : 97,977.40 = 39,171.07 : x
  2. Step 2: Convert to fraction form
    71,001.64/97,977.40 = 39,171.07/x
  3. Step 3: Cross multiply
    71,001.64x = 97,977.40 × 39,171.07
  4. Step 4: Simplify right side
    71,001.64x = 3,837,879,593.82
  5. Step 5: Solve for x
    x = 3,837,879,593.82/71,001.64
  6. Step 6: Final answer
    x = 54,053.39

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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.