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Finding the Fourth Proportional to 52,044.81, 71,821.32 and 28,170.98

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Solution

The fourth proportional to 52,044.81, 71,821.32 and 28,170.98 is: 38,875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,044.81 : 71,821.32 = 28,170.98 : x
  2. Step 2: Convert to fraction form
    52,044.81/71,821.32 = 28,170.98/x
  3. Step 3: Cross multiply
    52,044.81x = 71,821.32 × 28,170.98
  4. Step 4: Simplify right side
    52,044.81x = 2,023,276,610.19
  5. Step 5: Solve for x
    x = 2,023,276,610.19/52,044.81
  6. Step 6: Final answer
    x = 38,875.67

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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.