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Finding the Fourth Proportional to 97,055.88, 133,939.16 and 54,614.40

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Solution

The fourth proportional to 97,055.88, 133,939.16 and 54,614.40 is: 75,369.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,055.88 : 133,939.16 = 54,614.40 : x
  2. Step 2: Convert to fraction form
    97,055.88/133,939.16 = 54,614.40/x
  3. Step 3: Cross multiply
    97,055.88x = 133,939.16 × 54,614.40
  4. Step 4: Simplify right side
    97,055.88x = 7,315,006,859.90
  5. Step 5: Solve for x
    x = 7,315,006,859.90/97,055.88
  6. Step 6: Final answer
    x = 75,369.02

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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.