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Finding the Fourth Proportional to 46,508.31, 64,160.91 and 27,634.50

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Solution

The fourth proportional to 46,508.31, 64,160.91 and 27,634.50 is: 38,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,508.31 : 64,160.91 = 27,634.50 : x
  2. Step 2: Convert to fraction form
    46,508.31/64,160.91 = 27,634.50/x
  3. Step 3: Cross multiply
    46,508.31x = 64,160.91 × 27,634.50
  4. Step 4: Simplify right side
    46,508.31x = 1,773,054,667.40
  5. Step 5: Solve for x
    x = 1,773,054,667.40/46,508.31
  6. Step 6: Final answer
    x = 38,123.39

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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.