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Finding the Fourth Proportional to 92,135.65, 138,188.09 and 25,582.50

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Solution

The fourth proportional to 92,135.65, 138,188.09 and 25,582.50 is: 38,369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,135.65 : 138,188.09 = 25,582.50 : x
  2. Step 2: Convert to fraction form
    92,135.65/138,188.09 = 25,582.50/x
  3. Step 3: Cross multiply
    92,135.65x = 138,188.09 × 25,582.50
  4. Step 4: Simplify right side
    92,135.65x = 3,535,196,991.58
  5. Step 5: Solve for x
    x = 3,535,196,991.58/92,135.65
  6. Step 6: Final answer
    x = 38,369.48

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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.