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Finding the Fourth Proportional to 78,464, 117,748.92 and 29,216

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Solution

The fourth proportional to 78,464, 117,748.92 and 29,216 is: 43,843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,464 : 117,748.92 = 29,216 : x
  2. Step 2: Convert to fraction form
    78,464/117,748.92 = 29,216/x
  3. Step 3: Cross multiply
    78,464x = 117,748.92 × 29,216
  4. Step 4: Simplify right side
    78,464x = 3,440,152,446.72
  5. Step 5: Solve for x
    x = 3,440,152,446.72/78,464
  6. Step 6: Final answer
    x = 43,843.70

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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.