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Finding the Fourth Proportional to 83,468.96, 125,207.74 and 24,309.22

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Solution

The fourth proportional to 83,468.96, 125,207.74 and 24,309.22 is: 36,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,468.96 : 125,207.74 = 24,309.22 : x
  2. Step 2: Convert to fraction form
    83,468.96/125,207.74 = 24,309.22/x
  3. Step 3: Cross multiply
    83,468.96x = 125,207.74 × 24,309.22
  4. Step 4: Simplify right side
    83,468.96x = 3,043,702,497.36
  5. Step 5: Solve for x
    x = 3,043,702,497.36/83,468.96
  6. Step 6: Final answer
    x = 36,465.08

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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.