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Finding the Fourth Proportional to 73,134.50, 109,701.75 and 17,730.50

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Solution

The fourth proportional to 73,134.50, 109,701.75 and 17,730.50 is: 26,595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,134.50 : 109,701.75 = 17,730.50 : x
  2. Step 2: Convert to fraction form
    73,134.50/109,701.75 = 17,730.50/x
  3. Step 3: Cross multiply
    73,134.50x = 109,701.75 × 17,730.50
  4. Step 4: Simplify right side
    73,134.50x = 1,945,066,878.38
  5. Step 5: Solve for x
    x = 1,945,066,878.38/73,134.50
  6. Step 6: Final answer
    x = 26,595.75

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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.