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Finding the Fourth Proportional to 98,566.84, 136,022.16 and 53,854.84

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Solution

The fourth proportional to 98,566.84, 136,022.16 and 53,854.84 is: 74,319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,566.84 : 136,022.16 = 53,854.84 : x
  2. Step 2: Convert to fraction form
    98,566.84/136,022.16 = 53,854.84/x
  3. Step 3: Cross multiply
    98,566.84x = 136,022.16 × 53,854.84
  4. Step 4: Simplify right side
    98,566.84x = 7,325,451,663.25
  5. Step 5: Solve for x
    x = 7,325,451,663.25/98,566.84
  6. Step 6: Final answer
    x = 74,319.64

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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.