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Finding the Fourth Proportional to 32,154.06, 44,371.08 and 17,815.08

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Solution

The fourth proportional to 32,154.06, 44,371.08 and 17,815.08 is: 24,583.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,154.06 : 44,371.08 = 17,815.08 : x
  2. Step 2: Convert to fraction form
    32,154.06/44,371.08 = 17,815.08/x
  3. Step 3: Cross multiply
    32,154.06x = 44,371.08 × 17,815.08
  4. Step 4: Simplify right side
    32,154.06x = 790,474,339.89
  5. Step 5: Solve for x
    x = 790,474,339.89/32,154.06
  6. Step 6: Final answer
    x = 24,583.97

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1.5x scale

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.