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Finding the Fourth Proportional to 80,653.68, 120,985.29 and 24,495.66

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Solution

The fourth proportional to 80,653.68, 120,985.29 and 24,495.66 is: 36,744.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,653.68 : 120,985.29 = 24,495.66 : x
  2. Step 2: Convert to fraction form
    80,653.68/120,985.29 = 24,495.66/x
  3. Step 3: Cross multiply
    80,653.68x = 120,985.29 × 24,495.66
  4. Step 4: Simplify right side
    80,653.68x = 2,963,614,528.84
  5. Step 5: Solve for x
    x = 2,963,614,528.84/80,653.68
  6. Step 6: Final answer
    x = 36,744.94

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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.