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Finding the Fourth Proportional to 103,510.44, 155,271.96 and 32,446.44

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Solution

The fourth proportional to 103,510.44, 155,271.96 and 32,446.44 is: 48,671.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,510.44 : 155,271.96 = 32,446.44 : x
  2. Step 2: Convert to fraction form
    103,510.44/155,271.96 = 32,446.44/x
  3. Step 3: Cross multiply
    103,510.44x = 155,271.96 × 32,446.44
  4. Step 4: Simplify right side
    103,510.44x = 5,038,022,333.82
  5. Step 5: Solve for x
    x = 5,038,022,333.82/103,510.44
  6. Step 6: Final answer
    x = 48,671.63

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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.