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Finding the Fourth Proportional to 47,463, 65,500.08 and 30,725.16

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Solution

The fourth proportional to 47,463, 65,500.08 and 30,725.16 is: 42,401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,463 : 65,500.08 = 30,725.16 : x
  2. Step 2: Convert to fraction form
    47,463/65,500.08 = 30,725.16/x
  3. Step 3: Cross multiply
    47,463x = 65,500.08 × 30,725.16
  4. Step 4: Simplify right side
    47,463x = 2,012,500,438.01
  5. Step 5: Solve for x
    x = 2,012,500,438.01/47,463
  6. Step 6: Final answer
    x = 42,401.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.