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Finding the Fourth Proportional to 37,068, 51,153.84 and 23,820

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Solution

The fourth proportional to 37,068, 51,153.84 and 23,820 is: 32,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,068 : 51,153.84 = 23,820 : x
  2. Step 2: Convert to fraction form
    37,068/51,153.84 = 23,820/x
  3. Step 3: Cross multiply
    37,068x = 51,153.84 × 23,820
  4. Step 4: Simplify right side
    37,068x = 1,218,484,468.80
  5. Step 5: Solve for x
    x = 1,218,484,468.80/37,068
  6. Step 6: Final answer
    x = 32,871.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.