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Finding the Fourth Proportional to 86,583.98, 129,862.98 and 27,411.98

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Solution

The fourth proportional to 86,583.98, 129,862.98 and 27,411.98 is: 41,113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,583.98 : 129,862.98 = 27,411.98 : x
  2. Step 2: Convert to fraction form
    86,583.98/129,862.98 = 27,411.98/x
  3. Step 3: Cross multiply
    86,583.98x = 129,862.98 × 27,411.98
  4. Step 4: Simplify right side
    86,583.98x = 3,559,801,410.50
  5. Step 5: Solve for x
    x = 3,559,801,410.50/86,583.98
  6. Step 6: Final answer
    x = 41,113.86

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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.