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Finding the Fourth Proportional to 98,567.84, 136,023.54 and 53,855.84

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Solution

The fourth proportional to 98,567.84, 136,023.54 and 53,855.84 is: 74,321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,567.84 : 136,023.54 = 53,855.84 : x
  2. Step 2: Convert to fraction form
    98,567.84/136,023.54 = 53,855.84/x
  3. Step 3: Cross multiply
    98,567.84x = 136,023.54 × 53,855.84
  4. Step 4: Simplify right side
    98,567.84x = 7,325,662,006.47
  5. Step 5: Solve for x
    x = 7,325,662,006.47/98,567.84
  6. Step 6: Final answer
    x = 74,321.02

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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.