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Finding the Fourth Proportional to 25,675.38, 35,491.77 and 24,628.86

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Solution

The fourth proportional to 25,675.38, 35,491.77 and 24,628.86 is: 34,045.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,675.38 : 35,491.77 = 24,628.86 : x
  2. Step 2: Convert to fraction form
    25,675.38/35,491.77 = 24,628.86/x
  3. Step 3: Cross multiply
    25,675.38x = 35,491.77 × 24,628.86
  4. Step 4: Simplify right side
    25,675.38x = 874,121,834.48
  5. Step 5: Solve for x
    x = 874,121,834.48/25,675.38
  6. Step 6: Final answer
    x = 34,045.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.