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Finding the Fourth Proportional to 58,178.86, 80,282.09 and 32,683.84

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Solution

The fourth proportional to 58,178.86, 80,282.09 and 32,683.84 is: 45,101.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,178.86 : 80,282.09 = 32,683.84 : x
  2. Step 2: Convert to fraction form
    58,178.86/80,282.09 = 32,683.84/x
  3. Step 3: Cross multiply
    58,178.86x = 80,282.09 × 32,683.84
  4. Step 4: Simplify right side
    58,178.86x = 2,623,926,865.43
  5. Step 5: Solve for x
    x = 2,623,926,865.43/58,178.86
  6. Step 6: Final answer
    x = 45,101.04

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1.5x scale

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.