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Finding the Fourth Proportional to 78,064.84, 117,109.50 and 25,462.18

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Solution

The fourth proportional to 78,064.84, 117,109.50 and 25,462.18 is: 38,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,064.84 : 117,109.50 = 25,462.18 : x
  2. Step 2: Convert to fraction form
    78,064.84/117,109.50 = 25,462.18/x
  3. Step 3: Cross multiply
    78,064.84x = 117,109.50 × 25,462.18
  4. Step 4: Simplify right side
    78,064.84x = 2,981,863,168.71
  5. Step 5: Solve for x
    x = 2,981,863,168.71/78,064.84
  6. Step 6: Final answer
    x = 38,197.26

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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.