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Finding the Fourth Proportional to 46,628.40, 64,321.92 and 27,761.88

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Solution

The fourth proportional to 46,628.40, 64,321.92 and 27,761.88 is: 38,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,628.40 : 64,321.92 = 27,761.88 : x
  2. Step 2: Convert to fraction form
    46,628.40/64,321.92 = 27,761.88/x
  3. Step 3: Cross multiply
    46,628.40x = 64,321.92 × 27,761.88
  4. Step 4: Simplify right side
    46,628.40x = 1,785,697,424.41
  5. Step 5: Solve for x
    x = 1,785,697,424.41/46,628.40
  6. Step 6: Final answer
    x = 38,296.35

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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.