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Finding the Fourth Proportional to 64,852.92, 96,982.92 and 47,143.08

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Solution

The fourth proportional to 64,852.92, 96,982.92 and 47,143.08 is: 70,499.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,852.92 : 96,982.92 = 47,143.08 : x
  2. Step 2: Convert to fraction form
    64,852.92/96,982.92 = 47,143.08/x
  3. Step 3: Cross multiply
    64,852.92x = 96,982.92 × 47,143.08
  4. Step 4: Simplify right side
    64,852.92x = 4,572,073,556.19
  5. Step 5: Solve for x
    x = 4,572,073,556.19/64,852.92
  6. Step 6: Final answer
    x = 70,499.12

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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.