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Finding the Fourth Proportional to 46,519.42, 64,213.50 and 27,656.50

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Solution

The fourth proportional to 46,519.42, 64,213.50 and 27,656.50 is: 38,175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,519.42 : 64,213.50 = 27,656.50 : x
  2. Step 2: Convert to fraction form
    46,519.42/64,213.50 = 27,656.50/x
  3. Step 3: Cross multiply
    46,519.42x = 64,213.50 × 27,656.50
  4. Step 4: Simplify right side
    46,519.42x = 1,775,920,662.75
  5. Step 5: Solve for x
    x = 1,775,920,662.75/46,519.42
  6. Step 6: Final answer
    x = 38,175.90

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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.