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Finding the Fourth Proportional to 57,055.06, 78,740.13 and 31,902.94

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Solution

The fourth proportional to 57,055.06, 78,740.13 and 31,902.94 is: 44,028.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,055.06 : 78,740.13 = 31,902.94 : x
  2. Step 2: Convert to fraction form
    57,055.06/78,740.13 = 31,902.94/x
  3. Step 3: Cross multiply
    57,055.06x = 78,740.13 × 31,902.94
  4. Step 4: Simplify right side
    57,055.06x = 2,512,041,642.98
  5. Step 5: Solve for x
    x = 2,512,041,642.98/57,055.06
  6. Step 6: Final answer
    x = 44,028.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.