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Finding the Fourth Proportional to 76,966.28, 106,212.44 and 42,975.34

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Solution

The fourth proportional to 76,966.28, 106,212.44 and 42,975.34 is: 59,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,966.28 : 106,212.44 = 42,975.34 : x
  2. Step 2: Convert to fraction form
    76,966.28/106,212.44 = 42,975.34/x
  3. Step 3: Cross multiply
    76,966.28x = 106,212.44 × 42,975.34
  4. Step 4: Simplify right side
    76,966.28x = 4,564,515,721.23
  5. Step 5: Solve for x
    x = 4,564,515,721.23/76,966.28
  6. Step 6: Final answer
    x = 59,305.40

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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.