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Finding the Fourth Proportional to 25,171.30, 37,762.44 and 7,642.50

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Solution

The fourth proportional to 25,171.30, 37,762.44 and 7,642.50 is: 11,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,171.30 : 37,762.44 = 7,642.50 : x
  2. Step 2: Convert to fraction form
    25,171.30/37,762.44 = 7,642.50/x
  3. Step 3: Cross multiply
    25,171.30x = 37,762.44 × 7,642.50
  4. Step 4: Simplify right side
    25,171.30x = 288,599,447.70
  5. Step 5: Solve for x
    x = 288,599,447.70/25,171.30
  6. Step 6: Final answer
    x = 11,465.42

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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.