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Finding the Fourth Proportional to 77,506.50, 116,260.83 and 22,102.50

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Solution

The fourth proportional to 77,506.50, 116,260.83 and 22,102.50 is: 33,154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,506.50 : 116,260.83 = 22,102.50 : x
  2. Step 2: Convert to fraction form
    77,506.50/116,260.83 = 22,102.50/x
  3. Step 3: Cross multiply
    77,506.50x = 116,260.83 × 22,102.50
  4. Step 4: Simplify right side
    77,506.50x = 2,569,654,995.08
  5. Step 5: Solve for x
    x = 2,569,654,995.08/77,506.50
  6. Step 6: Final answer
    x = 33,154.06

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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.