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Finding the Fourth Proportional to 52,028.80, 77,812.80 and 43,734.40

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Solution

The fourth proportional to 52,028.80, 77,812.80 and 43,734.40 is: 65,407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,028.80 : 77,812.80 = 43,734.40 : x
  2. Step 2: Convert to fraction form
    52,028.80/77,812.80 = 43,734.40/x
  3. Step 3: Cross multiply
    52,028.80x = 77,812.80 × 43,734.40
  4. Step 4: Simplify right side
    52,028.80x = 3,403,096,120.32
  5. Step 5: Solve for x
    x = 3,403,096,120.32/52,028.80
  6. Step 6: Final answer
    x = 65,407.93

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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.