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Finding the Fourth Proportional to 98,567.24, 136,022.02 and 53,855.24

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Solution

The fourth proportional to 98,567.24, 136,022.02 and 53,855.24 is: 74,319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,567.24 : 136,022.02 = 53,855.24 : x
  2. Step 2: Convert to fraction form
    98,567.24/136,022.02 = 53,855.24/x
  3. Step 3: Cross multiply
    98,567.24x = 136,022.02 × 53,855.24
  4. Step 4: Simplify right side
    98,567.24x = 7,325,498,532.38
  5. Step 5: Solve for x
    x = 7,325,498,532.38/98,567.24
  6. Step 6: Final answer
    x = 74,319.81

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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.