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Finding the Fourth Proportional to 92,286, 138,414.96 and 25,719.12

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Solution

The fourth proportional to 92,286, 138,414.96 and 25,719.12 is: 38,574.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,286 : 138,414.96 = 25,719.12 : x
  2. Step 2: Convert to fraction form
    92,286/138,414.96 = 25,719.12/x
  3. Step 3: Cross multiply
    92,286x = 138,414.96 × 25,719.12
  4. Step 4: Simplify right side
    92,286x = 3,559,910,966.04
  5. Step 5: Solve for x
    x = 3,559,910,966.04/92,286
  6. Step 6: Final answer
    x = 38,574.77

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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.