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Finding the Fourth Proportional to 32,552.70, 48,826.98 and 10,381.98

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Solution

The fourth proportional to 32,552.70, 48,826.98 and 10,381.98 is: 15,572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,552.70 : 48,826.98 = 10,381.98 : x
  2. Step 2: Convert to fraction form
    32,552.70/48,826.98 = 10,381.98/x
  3. Step 3: Cross multiply
    32,552.70x = 48,826.98 × 10,381.98
  4. Step 4: Simplify right side
    32,552.70x = 506,920,729.82
  5. Step 5: Solve for x
    x = 506,920,729.82/32,552.70
  6. Step 6: Final answer
    x = 15,572.31

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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.