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Finding the Fourth Proportional to 37,742.50, 52,084.68 and 20,975.50

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Solution

The fourth proportional to 37,742.50, 52,084.68 and 20,975.50 is: 28,946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,742.50 : 52,084.68 = 20,975.50 : x
  2. Step 2: Convert to fraction form
    37,742.50/52,084.68 = 20,975.50/x
  3. Step 3: Cross multiply
    37,742.50x = 52,084.68 × 20,975.50
  4. Step 4: Simplify right side
    37,742.50x = 1,092,502,205.34
  5. Step 5: Solve for x
    x = 1,092,502,205.34/37,742.50
  6. Step 6: Final answer
    x = 28,946.21

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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.