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Finding the Fourth Proportional to 112,969, 169,453.50 and 39,097

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Solution

The fourth proportional to 112,969, 169,453.50 and 39,097 is: 58,645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,969 : 169,453.50 = 39,097 : x
  2. Step 2: Convert to fraction form
    112,969/169,453.50 = 39,097/x
  3. Step 3: Cross multiply
    112,969x = 169,453.50 × 39,097
  4. Step 4: Simplify right side
    112,969x = 6,625,123,489.50
  5. Step 5: Solve for x
    x = 6,625,123,489.50/112,969
  6. Step 6: Final answer
    x = 58,645.50

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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.