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Finding the Fourth Proportional to 113,072.50, 169,686.51 and 39,200.50

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Solution

The fourth proportional to 113,072.50, 169,686.51 and 39,200.50 is: 58,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,072.50 : 169,686.51 = 39,200.50 : x
  2. Step 2: Convert to fraction form
    113,072.50/169,686.51 = 39,200.50/x
  3. Step 3: Cross multiply
    113,072.50x = 169,686.51 × 39,200.50
  4. Step 4: Simplify right side
    113,072.50x = 6,651,796,035.26
  5. Step 5: Solve for x
    x = 6,651,796,035.26/113,072.50
  6. Step 6: Final answer
    x = 58,827.71

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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.