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Finding the Fourth Proportional to 58,302.20, 87,431.83 and 20,852.12

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Solution

The fourth proportional to 58,302.20, 87,431.83 and 20,852.12 is: 31,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,302.20 : 87,431.83 = 20,852.12 : x
  2. Step 2: Convert to fraction form
    58,302.20/87,431.83 = 20,852.12/x
  3. Step 3: Cross multiply
    58,302.20x = 87,431.83 × 20,852.12
  4. Step 4: Simplify right side
    58,302.20x = 1,823,139,010.98
  5. Step 5: Solve for x
    x = 1,823,139,010.98/58,302.20
  6. Step 6: Final answer
    x = 31,270.50

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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.