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Finding the Fourth Proportional to 109,241.58, 163,926.04 and 46,057.84

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Solution

The fourth proportional to 109,241.58, 163,926.04 and 46,057.84 is: 69,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,241.58 : 163,926.04 = 46,057.84 : x
  2. Step 2: Convert to fraction form
    109,241.58/163,926.04 = 46,057.84/x
  3. Step 3: Cross multiply
    109,241.58x = 163,926.04 × 46,057.84
  4. Step 4: Simplify right side
    109,241.58x = 7,550,079,322.15
  5. Step 5: Solve for x
    x = 7,550,079,322.15/109,241.58
  6. Step 6: Final answer
    x = 69,113.60

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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.