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Finding the Fourth Proportional to 78,408.70, 117,564.45 and 45,112.30

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Solution

The fourth proportional to 78,408.70, 117,564.45 and 45,112.30 is: 67,640.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,408.70 : 117,564.45 = 45,112.30 : x
  2. Step 2: Convert to fraction form
    78,408.70/117,564.45 = 45,112.30/x
  3. Step 3: Cross multiply
    78,408.70x = 117,564.45 × 45,112.30
  4. Step 4: Simplify right side
    78,408.70x = 5,303,602,737.74
  5. Step 5: Solve for x
    x = 5,303,602,737.74/78,408.70
  6. Step 6: Final answer
    x = 67,640.49

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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.