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Finding the Fourth Proportional to 54,178.16, 81,270.89 and 20,898.50

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Solution

The fourth proportional to 54,178.16, 81,270.89 and 20,898.50 is: 31,349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,178.16 : 81,270.89 = 20,898.50 : x
  2. Step 2: Convert to fraction form
    54,178.16/81,270.89 = 20,898.50/x
  3. Step 3: Cross multiply
    54,178.16x = 81,270.89 × 20,898.50
  4. Step 4: Simplify right side
    54,178.16x = 1,698,439,590.17
  5. Step 5: Solve for x
    x = 1,698,439,590.17/54,178.16
  6. Step 6: Final answer
    x = 31,349.16

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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.