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Finding the Fourth Proportional to 46,410.88, 64,063.64 and 27,548

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Solution

The fourth proportional to 46,410.88, 64,063.64 and 27,548 is: 38,026.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,410.88 : 64,063.64 = 27,548 : x
  2. Step 2: Convert to fraction form
    46,410.88/64,063.64 = 27,548/x
  3. Step 3: Cross multiply
    46,410.88x = 64,063.64 × 27,548
  4. Step 4: Simplify right side
    46,410.88x = 1,764,825,154.72
  5. Step 5: Solve for x
    x = 1,764,825,154.72/46,410.88
  6. Step 6: Final answer
    x = 38,026.11

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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.