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Finding the Fourth Proportional to 89,694.42, 123,774.32 and 51,426.59

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Solution

The fourth proportional to 89,694.42, 123,774.32 and 51,426.59 is: 70,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,694.42 : 123,774.32 = 51,426.59 : x
  2. Step 2: Convert to fraction form
    89,694.42/123,774.32 = 51,426.59/x
  3. Step 3: Cross multiply
    89,694.42x = 123,774.32 × 51,426.59
  4. Step 4: Simplify right side
    89,694.42x = 6,365,290,331.16
  5. Step 5: Solve for x
    x = 6,365,290,331.16/89,694.42
  6. Step 6: Final answer
    x = 70,966.40

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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.