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Finding the Fourth Proportional to 55,577.64, 83,375.10 and 18,633

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Solution

The fourth proportional to 55,577.64, 83,375.10 and 18,633 is: 27,952.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,577.64 : 83,375.10 = 18,633 : x
  2. Step 2: Convert to fraction form
    55,577.64/83,375.10 = 18,633/x
  3. Step 3: Cross multiply
    55,577.64x = 83,375.10 × 18,633
  4. Step 4: Simplify right side
    55,577.64x = 1,553,528,238.30
  5. Step 5: Solve for x
    x = 1,553,528,238.30/55,577.64
  6. Step 6: Final answer
    x = 27,952.40

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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.