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Finding the Fourth Proportional to 46,712.96, 64,464.64 and 27,861.12

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Solution

The fourth proportional to 46,712.96, 64,464.64 and 27,861.12 is: 38,448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,712.96 : 64,464.64 = 27,861.12 : x
  2. Step 2: Convert to fraction form
    46,712.96/64,464.64 = 27,861.12/x
  3. Step 3: Cross multiply
    46,712.96x = 64,464.64 × 27,861.12
  4. Step 4: Simplify right side
    46,712.96x = 1,796,057,070.80
  5. Step 5: Solve for x
    x = 1,796,057,070.80/46,712.96
  6. Step 6: Final answer
    x = 38,448.80

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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.