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Finding the Fourth Proportional to 92,065.32, 138,100.95 and 25,506.09

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Solution

The fourth proportional to 92,065.32, 138,100.95 and 25,506.09 is: 38,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,065.32 : 138,100.95 = 25,506.09 : x
  2. Step 2: Convert to fraction form
    92,065.32/138,100.95 = 25,506.09/x
  3. Step 3: Cross multiply
    92,065.32x = 138,100.95 × 25,506.09
  4. Step 4: Simplify right side
    92,065.32x = 3,522,415,259.79
  5. Step 5: Solve for x
    x = 3,522,415,259.79/92,065.32
  6. Step 6: Final answer
    x = 38,259.96

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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.