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Finding the Fourth Proportional to 47,655.04, 71,509.44 and 47,278.72

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Solution

The fourth proportional to 47,655.04, 71,509.44 and 47,278.72 is: 70,944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,655.04 : 71,509.44 = 47,278.72 : x
  2. Step 2: Convert to fraction form
    47,655.04/71,509.44 = 47,278.72/x
  3. Step 3: Cross multiply
    47,655.04x = 71,509.44 × 47,278.72
  4. Step 4: Simplify right side
    47,655.04x = 3,380,874,791.12
  5. Step 5: Solve for x
    x = 3,380,874,791.12/47,655.04
  6. Step 6: Final answer
    x = 70,944.75

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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.