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Finding the Fourth Proportional to 65,233.58, 97,856.51 and 20,849.81

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Solution

The fourth proportional to 65,233.58, 97,856.51 and 20,849.81 is: 31,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,233.58 : 97,856.51 = 20,849.81 : x
  2. Step 2: Convert to fraction form
    65,233.58/97,856.51 = 20,849.81/x
  3. Step 3: Cross multiply
    65,233.58x = 97,856.51 × 20,849.81
  4. Step 4: Simplify right side
    65,233.58x = 2,040,289,047.23
  5. Step 5: Solve for x
    x = 2,040,289,047.23/65,233.58
  6. Step 6: Final answer
    x = 31,276.67

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Why These Related Problems?

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