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Finding the Fourth Proportional to 64,047.81, 96,130.32 and 32,479.67

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Solution

The fourth proportional to 64,047.81, 96,130.32 and 32,479.67 is: 48,749.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,047.81 : 96,130.32 = 32,479.67 : x
  2. Step 2: Convert to fraction form
    64,047.81/96,130.32 = 32,479.67/x
  3. Step 3: Cross multiply
    64,047.81x = 96,130.32 × 32,479.67
  4. Step 4: Simplify right side
    64,047.81x = 3,122,280,589.94
  5. Step 5: Solve for x
    x = 3,122,280,589.94/64,047.81
  6. Step 6: Final answer
    x = 48,749.22

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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.