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Finding the Fourth Proportional to 81,178, 121,769.09 and 38,473.46

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Solution

The fourth proportional to 81,178, 121,769.09 and 38,473.46 is: 57,711.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,178 : 121,769.09 = 38,473.46 : x
  2. Step 2: Convert to fraction form
    81,178/121,769.09 = 38,473.46/x
  3. Step 3: Cross multiply
    81,178x = 121,769.09 × 38,473.46
  4. Step 4: Simplify right side
    81,178x = 4,684,878,213.35
  5. Step 5: Solve for x
    x = 4,684,878,213.35/81,178
  6. Step 6: Final answer
    x = 57,711.18

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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.