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Finding the Fourth Proportional to 78,455.13, 117,616.35 and 34,048.50

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Solution

The fourth proportional to 78,455.13, 117,616.35 and 34,048.50 is: 51,043.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,455.13 : 117,616.35 = 34,048.50 : x
  2. Step 2: Convert to fraction form
    78,455.13/117,616.35 = 34,048.50/x
  3. Step 3: Cross multiply
    78,455.13x = 117,616.35 × 34,048.50
  4. Step 4: Simplify right side
    78,455.13x = 4,004,660,292.98
  5. Step 5: Solve for x
    x = 4,004,660,292.98/78,455.13
  6. Step 6: Final answer
    x = 51,043.96

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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.