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Finding the Fourth Proportional to 53,833.60, 80,692.80 and 24,246.40

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Solution

The fourth proportional to 53,833.60, 80,692.80 and 24,246.40 is: 36,343.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,833.60 : 80,692.80 = 24,246.40 : x
  2. Step 2: Convert to fraction form
    53,833.60/80,692.80 = 24,246.40/x
  3. Step 3: Cross multiply
    53,833.60x = 80,692.80 × 24,246.40
  4. Step 4: Simplify right side
    53,833.60x = 1,956,509,905.92
  5. Step 5: Solve for x
    x = 1,956,509,905.92/53,833.60
  6. Step 6: Final answer
    x = 36,343.66

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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.