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Finding the Fourth Proportional to 46,676.52, 64,425.24 and 27,810

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Solution

The fourth proportional to 46,676.52, 64,425.24 and 27,810 is: 38,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,676.52 : 64,425.24 = 27,810 : x
  2. Step 2: Convert to fraction form
    46,676.52/64,425.24 = 27,810/x
  3. Step 3: Cross multiply
    46,676.52x = 64,425.24 × 27,810
  4. Step 4: Simplify right side
    46,676.52x = 1,791,665,924.40
  5. Step 5: Solve for x
    x = 1,791,665,924.40/46,676.52
  6. Step 6: Final answer
    x = 38,384.74

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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.