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Finding the Fourth Proportional to 102,971.70, 154,443.15 and 32,858.10

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Solution

The fourth proportional to 102,971.70, 154,443.15 and 32,858.10 is: 49,282.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,971.70 : 154,443.15 = 32,858.10 : x
  2. Step 2: Convert to fraction form
    102,971.70/154,443.15 = 32,858.10/x
  3. Step 3: Cross multiply
    102,971.70x = 154,443.15 × 32,858.10
  4. Step 4: Simplify right side
    102,971.70x = 5,074,708,467.02
  5. Step 5: Solve for x
    x = 5,074,708,467.02/102,971.70
  6. Step 6: Final answer
    x = 49,282.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.