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Finding the Fourth Proportional to 78,377.72, 117,529.50 and 30,368.81

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Solution

The fourth proportional to 78,377.72, 117,529.50 and 30,368.81 is: 45,538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,377.72 : 117,529.50 = 30,368.81 : x
  2. Step 2: Convert to fraction form
    78,377.72/117,529.50 = 30,368.81/x
  3. Step 3: Cross multiply
    78,377.72x = 117,529.50 × 30,368.81
  4. Step 4: Simplify right side
    78,377.72x = 3,569,230,467.25
  5. Step 5: Solve for x
    x = 3,569,230,467.25/78,377.72
  6. Step 6: Final answer
    x = 45,538.84

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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.