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Finding the Fourth Proportional to 89,744.80, 123,857.04 and 53,946.40

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Solution

The fourth proportional to 89,744.80, 123,857.04 and 53,946.40 is: 74,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,744.80 : 123,857.04 = 53,946.40 : x
  2. Step 2: Convert to fraction form
    89,744.80/123,857.04 = 53,946.40/x
  3. Step 3: Cross multiply
    89,744.80x = 123,857.04 × 53,946.40
  4. Step 4: Simplify right side
    89,744.80x = 6,681,641,422.66
  5. Step 5: Solve for x
    x = 6,681,641,422.66/89,744.80
  6. Step 6: Final answer
    x = 74,451.57

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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.