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Finding the Fourth Proportional to 24,276.80, 32,670 and 24,276.80

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Solution

The fourth proportional to 24,276.80, 32,670 and 24,276.80 is: 32,670

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,276.80 : 32,670 = 24,276.80 : x
  2. Step 2: Convert to fraction form
    24,276.80/32,670 = 24,276.80/x
  3. Step 3: Cross multiply
    24,276.80x = 32,670 × 24,276.80
  4. Step 4: Simplify right side
    24,276.80x = 793,123,056
  5. Step 5: Solve for x
    x = 793,123,056/24,276.80
  6. Step 6: Final answer
    x = 32,670

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.