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Finding the Fourth Proportional to 46,891.17, 64,741.14 and 27,777.13

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Solution

The fourth proportional to 46,891.17, 64,741.14 and 27,777.13 is: 38,350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,891.17 : 64,741.14 = 27,777.13 : x
  2. Step 2: Convert to fraction form
    46,891.17/64,741.14 = 27,777.13/x
  3. Step 3: Cross multiply
    46,891.17x = 64,741.14 × 27,777.13
  4. Step 4: Simplify right side
    46,891.17x = 1,798,322,900.28
  5. Step 5: Solve for x
    x = 1,798,322,900.28/46,891.17
  6. Step 6: Final answer
    x = 38,350.99

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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.