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Finding the Fourth Proportional to 97,757.04, 134,904.24 and 53,045.04

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Solution

The fourth proportional to 97,757.04, 134,904.24 and 53,045.04 is: 73,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,757.04 : 134,904.24 = 53,045.04 : x
  2. Step 2: Convert to fraction form
    97,757.04/134,904.24 = 53,045.04/x
  3. Step 3: Cross multiply
    97,757.04x = 134,904.24 × 53,045.04
  4. Step 4: Simplify right side
    97,757.04x = 7,156,000,806.97
  5. Step 5: Solve for x
    x = 7,156,000,806.97/97,757.04
  6. Step 6: Final answer
    x = 73,201.90

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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.