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Finding the Fourth Proportional to 54,450.64, 81,658.68 and 17,506

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Solution

The fourth proportional to 54,450.64, 81,658.68 and 17,506 is: 26,253.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,450.64 : 81,658.68 = 17,506 : x
  2. Step 2: Convert to fraction form
    54,450.64/81,658.68 = 17,506/x
  3. Step 3: Cross multiply
    54,450.64x = 81,658.68 × 17,506
  4. Step 4: Simplify right side
    54,450.64x = 1,429,516,852.08
  5. Step 5: Solve for x
    x = 1,429,516,852.08/54,450.64
  6. Step 6: Final answer
    x = 26,253.44

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Why These Related Problems?

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