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Finding the Fourth Proportional to 49,523.68, 74,262.84 and 21,430.72

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Solution

The fourth proportional to 49,523.68, 74,262.84 and 21,430.72 is: 32,136.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,523.68 : 74,262.84 = 21,430.72 : x
  2. Step 2: Convert to fraction form
    49,523.68/74,262.84 = 21,430.72/x
  3. Step 3: Cross multiply
    49,523.68x = 74,262.84 × 21,430.72
  4. Step 4: Simplify right side
    49,523.68x = 1,591,506,130.44
  5. Step 5: Solve for x
    x = 1,591,506,130.44/49,523.68
  6. Step 6: Final answer
    x = 32,136.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.