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Finding the Fourth Proportional to 115,384, 173,076 and 32,278

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Solution

The fourth proportional to 115,384, 173,076 and 32,278 is: 48,417

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,384 : 173,076 = 32,278 : x
  2. Step 2: Convert to fraction form
    115,384/173,076 = 32,278/x
  3. Step 3: Cross multiply
    115,384x = 173,076 × 32,278
  4. Step 4: Simplify right side
    115,384x = 5,586,547,128
  5. Step 5: Solve for x
    x = 5,586,547,128/115,384
  6. Step 6: Final answer
    x = 48,417

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.