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Finding the Fourth Proportional to 46,964.15, 64,813.19 and 27,855.24

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Solution

The fourth proportional to 46,964.15, 64,813.19 and 27,855.24 is: 38,441.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,964.15 : 64,813.19 = 27,855.24 : x
  2. Step 2: Convert to fraction form
    46,964.15/64,813.19 = 27,855.24/x
  3. Step 3: Cross multiply
    46,964.15x = 64,813.19 × 27,855.24
  4. Step 4: Simplify right side
    46,964.15x = 1,805,386,962.62
  5. Step 5: Solve for x
    x = 1,805,386,962.62/46,964.15
  6. Step 6: Final answer
    x = 38,441.81

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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.