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Finding the Fourth Proportional to 52,601.76, 78,883.20 and 21,420

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Solution

The fourth proportional to 52,601.76, 78,883.20 and 21,420 is: 32,122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,601.76 : 78,883.20 = 21,420 : x
  2. Step 2: Convert to fraction form
    52,601.76/78,883.20 = 21,420/x
  3. Step 3: Cross multiply
    52,601.76x = 78,883.20 × 21,420
  4. Step 4: Simplify right side
    52,601.76x = 1,689,678,144
  5. Step 5: Solve for x
    x = 1,689,678,144/52,601.76
  6. Step 6: Final answer
    x = 32,122.08

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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.