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Finding the Fourth Proportional to 25,149, 37,729.33 and 7,378.94

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Solution

The fourth proportional to 25,149, 37,729.33 and 7,378.94 is: 11,070.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,149 : 37,729.33 = 7,378.94 : x
  2. Step 2: Convert to fraction form
    25,149/37,729.33 = 7,378.94/x
  3. Step 3: Cross multiply
    25,149x = 37,729.33 × 7,378.94
  4. Step 4: Simplify right side
    25,149x = 278,402,462.31
  5. Step 5: Solve for x
    x = 278,402,462.31/25,149
  6. Step 6: Final answer
    x = 11,070.12

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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.