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Finding the Fourth Proportional to 92,117.74, 138,176.84 and 25,561.44

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Solution

The fourth proportional to 92,117.74, 138,176.84 and 25,561.44 is: 38,342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,117.74 : 138,176.84 = 25,561.44 : x
  2. Step 2: Convert to fraction form
    92,117.74/138,176.84 = 25,561.44/x
  3. Step 3: Cross multiply
    92,117.74x = 138,176.84 × 25,561.44
  4. Step 4: Simplify right side
    92,117.74x = 3,531,999,005.05
  5. Step 5: Solve for x
    x = 3,531,999,005.05/92,117.74
  6. Step 6: Final answer
    x = 38,342.22

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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.