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Finding the Fourth Proportional to 32,735.72, 49,125.11 and 17,955

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Solution

The fourth proportional to 32,735.72, 49,125.11 and 17,955 is: 26,944.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,735.72 : 49,125.11 = 17,955 : x
  2. Step 2: Convert to fraction form
    32,735.72/49,125.11 = 17,955/x
  3. Step 3: Cross multiply
    32,735.72x = 49,125.11 × 17,955
  4. Step 4: Simplify right side
    32,735.72x = 882,041,260.28
  5. Step 5: Solve for x
    x = 882,041,260.28/32,735.72
  6. Step 6: Final answer
    x = 26,944.30

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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.