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Finding the Fourth Proportional to 78,543.89, 117,739.69 and 31,143.50

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Solution

The fourth proportional to 78,543.89, 117,739.69 and 31,143.50 is: 46,685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,543.89 : 117,739.69 = 31,143.50 : x
  2. Step 2: Convert to fraction form
    78,543.89/117,739.69 = 31,143.50/x
  3. Step 3: Cross multiply
    78,543.89x = 117,739.69 × 31,143.50
  4. Step 4: Simplify right side
    78,543.89x = 3,666,826,035.52
  5. Step 5: Solve for x
    x = 3,666,826,035.52/78,543.89
  6. Step 6: Final answer
    x = 46,685.06

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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.