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Finding the Fourth Proportional to 53,178.84, 73,384.16 and 29,305

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Solution

The fourth proportional to 53,178.84, 73,384.16 and 29,305 is: 40,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,178.84 : 73,384.16 = 29,305 : x
  2. Step 2: Convert to fraction form
    53,178.84/73,384.16 = 29,305/x
  3. Step 3: Cross multiply
    53,178.84x = 73,384.16 × 29,305
  4. Step 4: Simplify right side
    53,178.84x = 2,150,522,808.80
  5. Step 5: Solve for x
    x = 2,150,522,808.80/53,178.84
  6. Step 6: Final answer
    x = 40,439.45

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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.