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Finding the Fourth Proportional to 46,945, 64,784.10 and 27,073

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Solution

The fourth proportional to 46,945, 64,784.10 and 27,073 is: 37,360.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,945 : 64,784.10 = 27,073 : x
  2. Step 2: Convert to fraction form
    46,945/64,784.10 = 27,073/x
  3. Step 3: Cross multiply
    46,945x = 64,784.10 × 27,073
  4. Step 4: Simplify right side
    46,945x = 1,753,899,939.30
  5. Step 5: Solve for x
    x = 1,753,899,939.30/46,945
  6. Step 6: Final answer
    x = 37,360.74

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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.