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Finding the Fourth Proportional to 46,410.94, 64,063.71 and 27,548.06

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Solution

The fourth proportional to 46,410.94, 64,063.71 and 27,548.06 is: 38,026.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,410.94 : 64,063.71 = 27,548.06 : x
  2. Step 2: Convert to fraction form
    46,410.94/64,063.71 = 27,548.06/x
  3. Step 3: Cross multiply
    46,410.94x = 64,063.71 × 27,548.06
  4. Step 4: Simplify right side
    46,410.94x = 1,764,831,087.06
  5. Step 5: Solve for x
    x = 1,764,831,087.06/46,410.94
  6. Step 6: Final answer
    x = 38,026.19

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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.