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Finding the Fourth Proportional to 78,173.70, 117,265.98 and 31,426.50

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Solution

The fourth proportional to 78,173.70, 117,265.98 and 31,426.50 is: 47,141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,173.70 : 117,265.98 = 31,426.50 : x
  2. Step 2: Convert to fraction form
    78,173.70/117,265.98 = 31,426.50/x
  3. Step 3: Cross multiply
    78,173.70x = 117,265.98 × 31,426.50
  4. Step 4: Simplify right side
    78,173.70x = 3,685,259,320.47
  5. Step 5: Solve for x
    x = 3,685,259,320.47/78,173.70
  6. Step 6: Final answer
    x = 47,141.93

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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.