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Finding the Fourth Proportional to 57,952.98, 86,929.47 and 31,643.37

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Solution

The fourth proportional to 57,952.98, 86,929.47 and 31,643.37 is: 47,465.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,952.98 : 86,929.47 = 31,643.37 : x
  2. Step 2: Convert to fraction form
    57,952.98/86,929.47 = 31,643.37/x
  3. Step 3: Cross multiply
    57,952.98x = 86,929.47 × 31,643.37
  4. Step 4: Simplify right side
    57,952.98x = 2,750,741,383.11
  5. Step 5: Solve for x
    x = 2,750,741,383.11/57,952.98
  6. Step 6: Final answer
    x = 47,465.06

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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.