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Finding the Fourth Proportional to 25,102.50, 37,646.06 and 8,458.06

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Solution

The fourth proportional to 25,102.50, 37,646.06 and 8,458.06 is: 12,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,102.50 : 37,646.06 = 8,458.06 : x
  2. Step 2: Convert to fraction form
    25,102.50/37,646.06 = 8,458.06/x
  3. Step 3: Cross multiply
    25,102.50x = 37,646.06 × 8,458.06
  4. Step 4: Simplify right side
    25,102.50x = 318,412,634.24
  5. Step 5: Solve for x
    x = 318,412,634.24/25,102.50
  6. Step 6: Final answer
    x = 12,684.50

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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.