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Finding the Fourth Proportional to 64,825.40, 97,022.10 and 47,005.40

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Solution

The fourth proportional to 64,825.40, 97,022.10 and 47,005.40 is: 70,351.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,825.40 : 97,022.10 = 47,005.40 : x
  2. Step 2: Convert to fraction form
    64,825.40/97,022.10 = 47,005.40/x
  3. Step 3: Cross multiply
    64,825.40x = 97,022.10 × 47,005.40
  4. Step 4: Simplify right side
    64,825.40x = 4,560,562,619.34
  5. Step 5: Solve for x
    x = 4,560,562,619.34/64,825.40
  6. Step 6: Final answer
    x = 70,351.48

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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.