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Finding the Fourth Proportional to 46,449.25, 64,079.40 and 27,575.44

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Solution

The fourth proportional to 46,449.25, 64,079.40 and 27,575.44 is: 38,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,449.25 : 64,079.40 = 27,575.44 : x
  2. Step 2: Convert to fraction form
    46,449.25/64,079.40 = 27,575.44/x
  3. Step 3: Cross multiply
    46,449.25x = 64,079.40 × 27,575.44
  4. Step 4: Simplify right side
    46,449.25x = 1,767,017,593.15
  5. Step 5: Solve for x
    x = 1,767,017,593.15/46,449.25
  6. Step 6: Final answer
    x = 38,041.90

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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.