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Finding the Fourth Proportional to 38,563.76, 53,217.60 and 24,428.20

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Solution

The fourth proportional to 38,563.76, 53,217.60 and 24,428.20 is: 33,710.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,563.76 : 53,217.60 = 24,428.20 : x
  2. Step 2: Convert to fraction form
    38,563.76/53,217.60 = 24,428.20/x
  3. Step 3: Cross multiply
    38,563.76x = 53,217.60 × 24,428.20
  4. Step 4: Simplify right side
    38,563.76x = 1,300,010,176.32
  5. Step 5: Solve for x
    x = 1,300,010,176.32/38,563.76
  6. Step 6: Final answer
    x = 33,710.67

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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.