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Finding the Fourth Proportional to 32,615, 45,008.70 and 17,711

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Solution

The fourth proportional to 32,615, 45,008.70 and 17,711 is: 24,441.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,615 : 45,008.70 = 17,711 : x
  2. Step 2: Convert to fraction form
    32,615/45,008.70 = 17,711/x
  3. Step 3: Cross multiply
    32,615x = 45,008.70 × 17,711
  4. Step 4: Simplify right side
    32,615x = 797,149,085.70
  5. Step 5: Solve for x
    x = 797,149,085.70/32,615
  6. Step 6: Final answer
    x = 24,441.18

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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.