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Finding the Fourth Proportional to 102,584.98, 153,894.48 and 36,007.84

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Solution

The fourth proportional to 102,584.98, 153,894.48 and 36,007.84 is: 54,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,584.98 : 153,894.48 = 36,007.84 : x
  2. Step 2: Convert to fraction form
    102,584.98/153,894.48 = 36,007.84/x
  3. Step 3: Cross multiply
    102,584.98x = 153,894.48 × 36,007.84
  4. Step 4: Simplify right side
    102,584.98x = 5,541,406,863.21
  5. Step 5: Solve for x
    x = 5,541,406,863.21/102,584.98
  6. Step 6: Final answer
    x = 54,017.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.