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Finding the Fourth Proportional to 55,301.16, 82,978.44 and 27,205.98

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Solution

The fourth proportional to 55,301.16, 82,978.44 and 27,205.98 is: 40,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,301.16 : 82,978.44 = 27,205.98 : x
  2. Step 2: Convert to fraction form
    55,301.16/82,978.44 = 27,205.98/x
  3. Step 3: Cross multiply
    55,301.16x = 82,978.44 × 27,205.98
  4. Step 4: Simplify right side
    55,301.16x = 2,257,509,779.07
  5. Step 5: Solve for x
    x = 2,257,509,779.07/55,301.16
  6. Step 6: Final answer
    x = 40,822.11

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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.