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Finding the Fourth Proportional to 46,555.76, 64,241.75 and 27,434.30

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Solution

The fourth proportional to 46,555.76, 64,241.75 and 27,434.30 is: 37,856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,555.76 : 64,241.75 = 27,434.30 : x
  2. Step 2: Convert to fraction form
    46,555.76/64,241.75 = 27,434.30/x
  3. Step 3: Cross multiply
    46,555.76x = 64,241.75 × 27,434.30
  4. Step 4: Simplify right side
    46,555.76x = 1,762,427,442.03
  5. Step 5: Solve for x
    x = 1,762,427,442.03/46,555.76
  6. Step 6: Final answer
    x = 37,856.27

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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.