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Finding the Fourth Proportional to 78,775.68, 108,708.84 and 42,966

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Solution

The fourth proportional to 78,775.68, 108,708.84 and 42,966 is: 59,292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,775.68 : 108,708.84 = 42,966 : x
  2. Step 2: Convert to fraction form
    78,775.68/108,708.84 = 42,966/x
  3. Step 3: Cross multiply
    78,775.68x = 108,708.84 × 42,966
  4. Step 4: Simplify right side
    78,775.68x = 4,670,784,019.44
  5. Step 5: Solve for x
    x = 4,670,784,019.44/78,775.68
  6. Step 6: Final answer
    x = 59,292.21

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