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Finding the Fourth Proportional to 35,257.92, 48,655.80 and 21,826.50

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Solution

The fourth proportional to 35,257.92, 48,655.80 and 21,826.50 is: 30,120.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,257.92 : 48,655.80 = 21,826.50 : x
  2. Step 2: Convert to fraction form
    35,257.92/48,655.80 = 21,826.50/x
  3. Step 3: Cross multiply
    35,257.92x = 48,655.80 × 21,826.50
  4. Step 4: Simplify right side
    35,257.92x = 1,061,985,818.70
  5. Step 5: Solve for x
    x = 1,061,985,818.70/35,257.92
  6. Step 6: Final answer
    x = 30,120.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.