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Finding the Fourth Proportional to 47,624.67, 71,427.87 and 23,925.87

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Solution

The fourth proportional to 47,624.67, 71,427.87 and 23,925.87 is: 35,884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,624.67 : 71,427.87 = 23,925.87 : x
  2. Step 2: Convert to fraction form
    47,624.67/71,427.87 = 23,925.87/x
  3. Step 3: Cross multiply
    47,624.67x = 71,427.87 × 23,925.87
  4. Step 4: Simplify right side
    47,624.67x = 1,708,973,932.00
  5. Step 5: Solve for x
    x = 1,708,973,932.00/47,624.67
  6. Step 6: Final answer
    x = 35,884.22

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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.