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Finding the Fourth Proportional to 25,101.50, 37,654.42 and 6,633.50

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Solution

The fourth proportional to 25,101.50, 37,654.42 and 6,633.50 is: 9,950.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,101.50 : 37,654.42 = 6,633.50 : x
  2. Step 2: Convert to fraction form
    25,101.50/37,654.42 = 6,633.50/x
  3. Step 3: Cross multiply
    25,101.50x = 37,654.42 × 6,633.50
  4. Step 4: Simplify right side
    25,101.50x = 249,780,595.07
  5. Step 5: Solve for x
    x = 249,780,595.07/25,101.50
  6. Step 6: Final answer
    x = 9,950.82

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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.