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Finding the Fourth Proportional to 84,502.16, 116,507.12 and 54,234.08

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Solution

The fourth proportional to 84,502.16, 116,507.12 and 54,234.08 is: 74,775.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,502.16 : 116,507.12 = 54,234.08 : x
  2. Step 2: Convert to fraction form
    84,502.16/116,507.12 = 54,234.08/x
  3. Step 3: Cross multiply
    84,502.16x = 116,507.12 × 54,234.08
  4. Step 4: Simplify right side
    84,502.16x = 6,318,656,466.65
  5. Step 5: Solve for x
    x = 6,318,656,466.65/84,502.16
  6. Step 6: Final answer
    x = 74,775.09

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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.