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Finding the Fourth Proportional to 78,465, 117,750.42 and 29,217

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Solution

The fourth proportional to 78,465, 117,750.42 and 29,217 is: 43,845.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,465 : 117,750.42 = 29,217 : x
  2. Step 2: Convert to fraction form
    78,465/117,750.42 = 29,217/x
  3. Step 3: Cross multiply
    78,465x = 117,750.42 × 29,217
  4. Step 4: Simplify right side
    78,465x = 3,440,314,021.14
  5. Step 5: Solve for x
    x = 3,440,314,021.14/78,465
  6. Step 6: Final answer
    x = 43,845.21

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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.