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Finding the Fourth Proportional to 47,661.88, 71,533.14 and 19,597

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Solution

The fourth proportional to 47,661.88, 71,533.14 and 19,597 is: 29,412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,661.88 : 71,533.14 = 19,597 : x
  2. Step 2: Convert to fraction form
    47,661.88/71,533.14 = 19,597/x
  3. Step 3: Cross multiply
    47,661.88x = 71,533.14 × 19,597
  4. Step 4: Simplify right side
    47,661.88x = 1,401,834,944.58
  5. Step 5: Solve for x
    x = 1,401,834,944.58/47,661.88
  6. Step 6: Final answer
    x = 29,412.08

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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.