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Finding the Fourth Proportional to 78,226, 117,339 and 25,639.18

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Solution

The fourth proportional to 78,226, 117,339 and 25,639.18 is: 38,458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,226 : 117,339 = 25,639.18 : x
  2. Step 2: Convert to fraction form
    78,226/117,339 = 25,639.18/x
  3. Step 3: Cross multiply
    78,226x = 117,339 × 25,639.18
  4. Step 4: Simplify right side
    78,226x = 3,008,475,742.02
  5. Step 5: Solve for x
    x = 3,008,475,742.02/78,226
  6. Step 6: Final answer
    x = 38,458.77

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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.