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Finding the Fourth Proportional to 112,729.74, 169,104.21 and 29,623.50

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Solution

The fourth proportional to 112,729.74, 169,104.21 and 29,623.50 is: 44,437.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,729.74 : 169,104.21 = 29,623.50 : x
  2. Step 2: Convert to fraction form
    112,729.74/169,104.21 = 29,623.50/x
  3. Step 3: Cross multiply
    112,729.74x = 169,104.21 × 29,623.50
  4. Step 4: Simplify right side
    112,729.74x = 5,009,458,564.94
  5. Step 5: Solve for x
    x = 5,009,458,564.94/112,729.74
  6. Step 6: Final answer
    x = 44,437.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.