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Finding the Fourth Proportional to 54,756.58, 82,142.95 and 17,308.15

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Solution

The fourth proportional to 54,756.58, 82,142.95 and 17,308.15 is: 25,964.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,756.58 : 82,142.95 = 17,308.15 : x
  2. Step 2: Convert to fraction form
    54,756.58/82,142.95 = 17,308.15/x
  3. Step 3: Cross multiply
    54,756.58x = 82,142.95 × 17,308.15
  4. Step 4: Simplify right side
    54,756.58x = 1,421,742,500.04
  5. Step 5: Solve for x
    x = 1,421,742,500.04/54,756.58
  6. Step 6: Final answer
    x = 25,964.78

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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.