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Finding the Fourth Proportional to 56,402.84, 84,604.26 and 14,849.84

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Solution

The fourth proportional to 56,402.84, 84,604.26 and 14,849.84 is: 22,274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,402.84 : 84,604.26 = 14,849.84 : x
  2. Step 2: Convert to fraction form
    56,402.84/84,604.26 = 14,849.84/x
  3. Step 3: Cross multiply
    56,402.84x = 84,604.26 × 14,849.84
  4. Step 4: Simplify right side
    56,402.84x = 1,256,359,724.32
  5. Step 5: Solve for x
    x = 1,256,359,724.32/56,402.84
  6. Step 6: Final answer
    x = 22,274.76

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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.