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Finding the Fourth Proportional to 58,840.82, 81,201.92 and 31,985.14

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Solution

The fourth proportional to 58,840.82, 81,201.92 and 31,985.14 is: 44,140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,840.82 : 81,201.92 = 31,985.14 : x
  2. Step 2: Convert to fraction form
    58,840.82/81,201.92 = 31,985.14/x
  3. Step 3: Cross multiply
    58,840.82x = 81,201.92 × 31,985.14
  4. Step 4: Simplify right side
    58,840.82x = 2,597,254,416.54
  5. Step 5: Solve for x
    x = 2,597,254,416.54/58,840.82
  6. Step 6: Final answer
    x = 44,140.35

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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.