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Finding the Fourth Proportional to 35,614.16, 53,414.76 and 15,889.04

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Solution

The fourth proportional to 35,614.16, 53,414.76 and 15,889.04 is: 23,830.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,614.16 : 53,414.76 = 15,889.04 : x
  2. Step 2: Convert to fraction form
    35,614.16/53,414.76 = 15,889.04/x
  3. Step 3: Cross multiply
    35,614.16x = 53,414.76 × 15,889.04
  4. Step 4: Simplify right side
    35,614.16x = 848,709,258.23
  5. Step 5: Solve for x
    x = 848,709,258.23/35,614.16
  6. Step 6: Final answer
    x = 23,830.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.