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Finding the Fourth Proportional to 82,530.50, 113,918.02 and 52,722.50

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Solution

The fourth proportional to 82,530.50, 113,918.02 and 52,722.50 is: 72,773.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,530.50 : 113,918.02 = 52,722.50 : x
  2. Step 2: Convert to fraction form
    82,530.50/113,918.02 = 52,722.50/x
  3. Step 3: Cross multiply
    82,530.50x = 113,918.02 × 52,722.50
  4. Step 4: Simplify right side
    82,530.50x = 6,006,042,809.45
  5. Step 5: Solve for x
    x = 6,006,042,809.45/82,530.50
  6. Step 6: Final answer
    x = 72,773.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.