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Finding the Fourth Proportional to 112,702.81, 169,070.70 and 33,823.27

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Solution

The fourth proportional to 112,702.81, 169,070.70 and 33,823.27 is: 50,739.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,702.81 : 169,070.70 = 33,823.27 : x
  2. Step 2: Convert to fraction form
    112,702.81/169,070.70 = 33,823.27/x
  3. Step 3: Cross multiply
    112,702.81x = 169,070.70 × 33,823.27
  4. Step 4: Simplify right side
    112,702.81x = 5,718,523,935.19
  5. Step 5: Solve for x
    x = 5,718,523,935.19/112,702.81
  6. Step 6: Final answer
    x = 50,739.85

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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.