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Finding the Fourth Proportional to 25,678.38, 35,495.91 and 24,631.86

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Solution

The fourth proportional to 25,678.38, 35,495.91 and 24,631.86 is: 34,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,678.38 : 35,495.91 = 24,631.86 : x
  2. Step 2: Convert to fraction form
    25,678.38/35,495.91 = 24,631.86/x
  3. Step 3: Cross multiply
    25,678.38x = 35,495.91 × 24,631.86
  4. Step 4: Simplify right side
    25,678.38x = 874,330,285.69
  5. Step 5: Solve for x
    x = 874,330,285.69/25,678.38
  6. Step 6: Final answer
    x = 34,049.28

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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.