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Finding the Fourth Proportional to 118,812.96, 163,926.72 and 67,824

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Solution

The fourth proportional to 118,812.96, 163,926.72 and 67,824 is: 93,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,812.96 : 163,926.72 = 67,824 : x
  2. Step 2: Convert to fraction form
    118,812.96/163,926.72 = 67,824/x
  3. Step 3: Cross multiply
    118,812.96x = 163,926.72 × 67,824
  4. Step 4: Simplify right side
    118,812.96x = 11,118,165,857.28
  5. Step 5: Solve for x
    x = 11,118,165,857.28/118,812.96
  6. Step 6: Final answer
    x = 93,577.05

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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.