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Finding the Fourth Proportional to 46,427.31, 64,071 and 27,308.48

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Solution

The fourth proportional to 46,427.31, 64,071 and 27,308.48 is: 37,686.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,427.31 : 64,071 = 27,308.48 : x
  2. Step 2: Convert to fraction form
    46,427.31/64,071 = 27,308.48/x
  3. Step 3: Cross multiply
    46,427.31x = 64,071 × 27,308.48
  4. Step 4: Simplify right side
    46,427.31x = 1,749,681,301.73
  5. Step 5: Solve for x
    x = 1,749,681,301.73/46,427.31
  6. Step 6: Final answer
    x = 37,686.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.