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Finding the Fourth Proportional to 37,737.66, 52,077.42 and 21,823.60

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Solution

The fourth proportional to 37,737.66, 52,077.42 and 21,823.60 is: 30,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,737.66 : 52,077.42 = 21,823.60 : x
  2. Step 2: Convert to fraction form
    37,737.66/52,077.42 = 21,823.60/x
  3. Step 3: Cross multiply
    37,737.66x = 52,077.42 × 21,823.60
  4. Step 4: Simplify right side
    37,737.66x = 1,136,516,783.11
  5. Step 5: Solve for x
    x = 1,136,516,783.11/37,737.66
  6. Step 6: Final answer
    x = 30,116.25

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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.