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Finding the Fourth Proportional to 78,429, 117,577.35 and 34,022.31

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Solution

The fourth proportional to 78,429, 117,577.35 and 34,022.31 is: 51,004.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,429 : 117,577.35 = 34,022.31 : x
  2. Step 2: Convert to fraction form
    78,429/117,577.35 = 34,022.31/x
  3. Step 3: Cross multiply
    78,429x = 117,577.35 × 34,022.31
  4. Step 4: Simplify right side
    78,429x = 4,000,253,050.68
  5. Step 5: Solve for x
    x = 4,000,253,050.68/78,429
  6. Step 6: Final answer
    x = 51,004.77

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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.