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Finding the Fourth Proportional to 78,484.35, 117,723.89 and 34,111.10

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Solution

The fourth proportional to 78,484.35, 117,723.89 and 34,111.10 is: 51,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,484.35 : 117,723.89 = 34,111.10 : x
  2. Step 2: Convert to fraction form
    78,484.35/117,723.89 = 34,111.10/x
  3. Step 3: Cross multiply
    78,484.35x = 117,723.89 × 34,111.10
  4. Step 4: Simplify right side
    78,484.35x = 4,015,690,625.00
  5. Step 5: Solve for x
    x = 4,015,690,625.00/78,484.35
  6. Step 6: Final answer
    x = 51,165.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.